Topological Algebras With Involution


Topological Algebras With Involution
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Topological Algebras With Involution


Topological Algebras With Involution
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Author : M. Fragoulopoulou
language : en
Publisher: Elsevier
Release Date : 2005-07-26

Topological Algebras With Involution written by M. Fragoulopoulou and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-07-26 with Mathematics categories.


This book familiarizes both popular and fundamental notions and techniques from the theory of non-normed topological algebras with involution, demonstrating with examples and basic results the necessity of this perspective. The main body of the book is focussed on the Hilbert-space (bounded) representation theory of topological *-algebras and their topological tensor products, since in our physical world, apart from the majority of the existing unbounded operators, we often meet operators that are forced to be bounded, like in the case of symmetric *-algebras. So, one gets an account of how things behave, when the mathematical structures are far from being algebras endowed with a complete or non-complete algebra norm. In problems related with mathematical physics, such instances are, indeed, quite common. Key features: - Lucid presentation- Smooth in reading- Informative- Illustrated by examples- Familiarizes the reader with the non-normed *-world- Encourages the hesitant- Welcomes new comers. - Well written and lucid presentation.- Informative and illustrated by examples.- Familiarizes the reader with the non-normed *-world.



Topological Algebras


Topological Algebras
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Author :
language : en
Publisher: Elsevier
Release Date : 2011-10-10

Topological Algebras written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-10 with Mathematics categories.


This book discusses general topological algebras; space C(T,F) of continuous functions mapping T into F as an algebra only (with pointwise operations); and C(T,F) endowed with compact-open topology as a topological algebra C(T,F,c). It characterizes the maximal ideals and homomorphisms closed maximal ideals and continuous homomorphisms of topological algebras in general and C(T,F,c) in particular. A considerable inroad is made into the properties of C(T,F,c) as a topological vector space. Many of the results about C(T,F,c) serve to illustrate and motivate results about general topological algebras. Attention is restricted to the algebra C(T,R) of real-valued continuous functions and to the pursuit of the maximal ideals and real-valued homomorphisms of such algebras. The chapter presents the correlation of algebraic properties of C(T,F) with purely topological properties of T. The Stone–Čech compactification and the Wallman compactification play an important role in characterizing the maximal ideals of certain topological algebras.



Topological Algebras And Applications


Topological Algebras And Applications
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Author : Anastasios Mallios
language : en
Publisher: American Mathematical Soc.
Release Date : 2007

Topological Algebras And Applications written by Anastasios Mallios and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.


The Fifth International Conference on Topological Algebras and Applications was held in Athens, Greece, from June 27th to July 1st of 2005. The main topic of the Conference was general theory of topological algebras and its various applications, with emphasis on the ``non-normed'' case. in addition to the study of the internal structure of non-normed, and even non-locally convex topological algebras, there are applications to other branches of mathematics, such as differential geometry of smooth manifolds, and mathematical physics, such as quantum relativity and quantum cosmology. Operator theory of unbounded operators and related non-normed topological algebras are intensively studied here. Other topics presented in this volume are topological homological algebra, topological algebraic geometry, sheaf theory and $K$-theory.



Topological Algebras And Their Applications


Topological Algebras And Their Applications
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Author : Alexander Katz
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2018-05-07

Topological Algebras And Their Applications written by Alexander Katz and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-07 with Mathematics categories.


Proceedings of the 8th International Conference of Topological Algebras and Their Applications (ICTAA-2014), held on May 26-30, 2014 in Playa de Villas de Mar Beach, dedicated to the memory of Anastasios Mallios (Athens, Greece). This series of conferences started in 1999 in Tartu, Estonia and were subsequently held in Rabat, Moroco (2000), Oulu, Finland (2001), Oaxaca, Mexico (2002), Bedlewo, Poland (2003), Athens, Greece (2005) and Tartu, Estonia (2008 and 2013). The topics of the conference include all areas of mathematics, connected with (preferably general) topological algebras and their applications, including all kinds of topological-algebraic structures as topological linear spaces, topological rings, topological modules, topological groups and semigroups; bornological-algebraic structures such as bornological linear spaces, bornological algebras, bornological groups, bornological rings and modules; algebraic and topological K-theory; topological module bundles, sheaves and others. Contents Some results on spectral properties of unital algebras and on the algebra of linear operators on a unital algebra Descriptions of all closed maximal one-sided ideals in topological algebras On non self-adjoint operators defined by Riesz bases in Hilbert and rigged Hilbert spaces Functional calculus on algebras of operators generated by a self-adjoint operator in Pontryagin space Π1 On Gelfand-Naimark type Theorems for unital abelian complex and real locally C*-, and locally JB-algebras Multipliers and strictly real topological algebras Multipliers in some perfect locally m-pseudo-convex algebras Wedderburn structure theorems for two-sided locally m-convex H*-algebras Homologically best modules in classical and quantized functional analysis Operator Grüss inequality Main embedding theorems for symmetric spaces of measurable functions Mapping class groups are linear Subnormable A-convex algebras Commutative BP*-algebras and Gelfand-Naimark’s theorem Discrete nonclosed subsets in maximally nondiscrete topological groups Faithfully representable topological *-algebras: some spectral properties On continuity of complementors in topological algebras Dominated ergodic theorem for isometries of non-commutative Lp-spaces, 1 p p ≠ 2 Ranks and the approximate n-th root property of C*-algebras Dense ideals in topological algebras: some results and open problems



Multiplicative Functionals On Topological Algebras


Multiplicative Functionals On Topological Algebras
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Author : Taqdir Husain
language : en
Publisher: Pitman Advanced Publishing Program
Release Date : 1983

Multiplicative Functionals On Topological Algebras written by Taqdir Husain and has been published by Pitman Advanced Publishing Program this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with Mathematics categories.




Representations Of Algebras Locally Compact Groups And Banach Algebraic Bundles


Representations Of Algebras Locally Compact Groups And Banach Algebraic Bundles
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Author : J. M.G. Fell
language : en
Publisher: Academic Press
Release Date : 1988-05-01

Representations Of Algebras Locally Compact Groups And Banach Algebraic Bundles written by J. M.G. Fell and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-05-01 with Mathematics categories.


This is an all-encompassing and exhaustive exposition of the theory of infinite-dimensional Unitary Representations of Locally Compact Groups and its generalization to representations of Banach algebras. The presentation is detailed, accessible, and self-contained (except for some elementary knowledge in algebra, topology, and abstract measure theory). In the later chapters the reader is brought to the frontiers of present-day knowledge in the area of Mackey normal subgroup analysisand its generalization to the context of Banach *-Algebraic Bundles.



Calkin Algebras And Algebras Of Operators On Banach Spates


Calkin Algebras And Algebras Of Operators On Banach Spates
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Author : Caradus
language : en
Publisher: Routledge
Release Date : 2017-10-19

Calkin Algebras And Algebras Of Operators On Banach Spates written by Caradus and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-19 with Mathematics categories.


Since the appearance of Banach algebra theory, the interaction between the theories ofBanach algebras with involution and that of bounded linear operators on a Hilbert space hasbeen extensively developed. The connections of Banach algebras with the theory ofbounded linear operators on a Hilbert space have also evolved, and Calkin Algebras andAlgebras of Operators on Banach Spaces provides an introduction to this set of ideas.The book begins with a treatment of the classical Riesz-Schauder theory which takesadvantage of the most recent developments-some of this material appears here for the firsttime. Although the reader should be familiar with the basics of functional analysis, anintroductory chapter on Banach algebras has been included. Other topics dealt with includeFredholm operators, semi-Fredholm operators, Riesz operators. and Calkin algebras.This volume will be of direct interest to both graduate students and research mathematicians.



Topological Geometry


Topological Geometry
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Author : Ian R. Porteous
language : en
Publisher:
Release Date : 1969

Topological Geometry written by Ian R. Porteous and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Mathematics categories.




Topological Algebras And Their Applications


Topological Algebras And Their Applications
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Author : Hugo Arizmendi
language : en
Publisher: American Mathematical Soc.
Release Date : 2004

Topological Algebras And Their Applications written by Hugo Arizmendi and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.


The Fourth International Conference on Topological Algebras and Their Applications was held in Oaxaca, Mexico. This meeting brought together international specialists and Mexican specialists in topological algebras, locally convex and Banach spaces, spectral theory, and operator theory and related topics. This volume contains talks presented at the conference as well as articles received in response to a call for papers; some are expository and provide new insights, while others contain new research. The book is suitable for graduate students and research mathematicians working in topological vector spaces, topological algebras, and their applications.



The Book Of Involutions


The Book Of Involutions
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Author : Max-Albert Knus
language : en
Publisher: American Mathematical Soc.
Release Date : 1998

The Book Of Involutions written by Max-Albert Knus and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Formes hermitiennes categories.


Written for graduate students and research mathematicians, this monograph is an exposition of the theory of central simple algebras with involution, in relation to linear algebraic groups. Involutions are viewed as twisted forms of hermitian quadrics, leading to new developments on the model of the algebraic theory of quadratic forms. In addition to classical groups, phenomena related to triality are discussed, as well as: groups of type F4 or G2 arising from exceptional Jordan or composition algebras, the discriminant algebra of an algebra with unitary involution, and the algebra-theoretic counterpart to linear groups of type D4. Annotation copyrighted by Book News, Inc., Portland, OR.