Topological Algebras and their Applications

Proceedings of the 8th International Conference on Topological Algebras and their Applications, 2014

Alexander Katz

• Publisher: De Gruyter
• Year: 2018
• eBook ISBN: 9783110414424
• Edition: 1
• Topic: Mathematics
• Subtopic: Algebra
• Index: Mathematics

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 ? 1
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

Table of contents

• Cover
• Title Page
• Copyright
• Dedication
• Contents
• Foreword
• Copyright
• 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