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Algebraic Methods in Functional Analysis

Part of the Operator Theory: Advances and Applications Book Series (volume 233)

Editors: Todorov, Ivan G.; Turowska, Lyudmila

DOI: 10.1007/978-3-0348-0502-5

ISBN: 978-3-0348-0501-8

Publisher: Springer Basel - Springer Journals

Sep 28, 2013

1 - 10 of 13 Chapters

LitStream

Chapter 1Victor Shulman: The Gentle Art of Mathematics

Todorov, Ivan G.; Turowska, Lyudmila

Pages: 1 –16

[It came as a bit of a shock to all of us: Victor (or Vitya, as we affectionately call him in Russian) is 65. Hold on, this can’t be true! We just played football with him and he scored a few goals. He was all over the field – full of drive and the desire to win. No, he cannot be 65! Don’t tell...
LitStream

Chapter 2Operators Splitting the Arveson Spectrum

Alaminos, J.; Extremera, J.; Villena, A. R.

Pages: 17 –32

[Let σ1 and σ2 be commuting representations of a locally compact abelian group G on a complex Banach space X and let τ be a representation of G on another complex Banach space Y.This paper is devoted to study the continuous linear operators A:X → Y with the property that...
LitStream

Chapter 3Singly Generated Operator Algebras Satisfying Weakened Versions of Amenability

Choi, Yemon

Pages: 33 –44

[We construct a singly generated subalgebra of K(H) which is nonamenable, yet is boundedly approximately contractible. The example embeds into a homogeneous von Neumann algebra. We also observe that there are singly generated, biflat subalgebras of finite Type I von Neumann algebras, which are...
LitStream

Chapter 4Operator Algebras and C*-correspondences: A Survey

Kakariadis, Evgenios T. A.; Katsoulis, Elias G.

Pages: 45 –73

[In this paper we survey our recent work on C*-correspondences and their associated operator algebras; in particular, on adding tails, the Shift Equivalence Problem and Hilbert bimodules.]
LitStream

Chapter 5Some Operator Algebras from Semigroups

Katavolos, A.

Pages: 75 –84

[This is a study of reflexivity and structure properties of operator algebras generated by representations of the Heisenberg semigroup.We briefly revise earlier joint work with S.C. Power [14] on the continuous Heisenberg semigroup. We then show that the (restricted) left regular representation...
LitStream

Chapter 6Lifting Algebraic Contractions in C*-algebras

Loring, Terry; Shulman, Tatiana

Pages: 85 –92

[Let p be a polynomial in one variable. It is shown that the universal C* -algebra of the relation \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs}...
LitStream

Chapter 7The Second Local Multiplier Algebra of a Separable C*-algebra

Mathieu, Martin

Pages: 93 –102

[Several examples of (separable) C*-algebras with the property that their second (iterated) local multiplier algebra is strictly larger than the first have been found by various groups of authors over the past few years, thus answering a question originally posed by G.K. Pedersen in 1978. This...
LitStream

Chapter 8Test-space Characterizations of Some Classes of Banach Spaces

Ostrovskii, M. I.

Pages: 103 –126

[Let p be a class of Banach spaces and let T = {Tα}αєA be a set of metric spaces. We say that T is a set of test-spaces for P if the following two conditions are equivalent: (1) X ∉ P; (2) The spaces {Tα}αєA admit uniformly bilipschitz embeddings into X.]
LitStream

Chapter 9Splittings of Masa-bimodules

Papapanayides, S.; Todorov, I. G.

Pages: 127 –134

[We study masa-bimodules whose support is an amplification of a given ω-closed set k, showing that its corresponding minimal and maximal masa-bimodules are amplifications of the minimal and the maximal masabimodules of k. We provide a description of the convex hull of an amplification of a...
LitStream

Chapter 10Noncommutative Analogues of Stein Spaces of Finite Embedding Dimension

Pirkovskii, A. Yu.

Pages: 135 –153

[We introduce and study holomorphicallyfini tely generated (HFG) Fréchet algebras, which are analytic counterparts of affine (i.e., finitely generated) C-algebras. Using a theorem of O. Forster, we prove that the category of commutative HFG algebras is anti-equivalent to the category of Stein...

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