Description

Book Synopsis

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

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

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    A Hardback by Alexander Katz

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      View other formats and editions of Topological Algebras and their Applications: Proceedings of the 8th International Conference on Topological Algebras and their Applications, 2014 by Alexander Katz

      Publisher: De Gruyter
      Publication Date: 22/05/2018
      ISBN13: 9783110414332, 978-3110414332
      ISBN10:

      Description

      Book Synopsis

      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

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