Lecture Notes in Mathematics

By: Gilles Pisier

Write A Review

Paperback | 27 February 2001 | Edition Number 2

At a Glance

Paperback
212 Pages

Edition Type
Revised

Dimensions(cm)
24.13 x 15.88 x 1.27

Paperback

$89.99

or 4 interest-free payments of $22.50 with

Ships in 5 to 7 business days

These notes revolve around three similarity problems, appearing in three different contexts, but all dealing with the space B(H) of all bounded operators on a complex Hilbert space H. The first one deals with group representations, the second one with C* -algebras and the third one with the disc algebra. We describe them in detail in the introduction which follows. This volume is devoted to the background necessary to understand these three problems, to the solutions that are known in some special cases and to numerous related concepts, results, counterexamples or extensions which their investigation has generated. While the three problems seem different, it is possible to place them in a common framework using the key concept of "complete boundedness", which we present in detail. Using this notion, the three problems can all be formulated as asking whether "boundedness" implies "complete boundedness" for linear maps satisfying certain additional algebraic identities.

Shipping

	Standard Shipping	Express Shipping
Metro postcodes:	$9.99	$14.95
Regional postcodes:	$9.99	$14.95
Rural postcodes:	$9.99	$14.95

Orders over $89.00 qualify for free shipping.

How to return your order

At Booktopia, we offer hassle-free returns in accordance with our returns policy. If you wish to return an item, please get in touch with Booktopia Customer Care.

Additional postage charges may be applicable.

Defective items

If there is a problem with any of the items received for your order then the Booktopia Customer Care team is ready to assist you.

For more info please visit our Help Centre.

You Can Find This Book In

Non-Fiction Mathematics Groups & Group Theory Calculus & Mathematical Analysis Functional Analysis & Transforms Algebra Medicine Medicine in General Complex Analysis

Introduction. Description of contents	p. 1
Von Neumann's inequality and Ando's generalization	p. 14
Non-unitarizable uniformly bounded group representations	p. 31
Completely bounded maps	p. 58
Completely bounded homomorphisms and derivations	p. 75
Schur multipliers and Grothendieck's inequality	p. 99
Hankelian Schur multipliers. Herz-Schur multipliers	p. 114
The similarity problem for cyclic homomorphisms on a C-algebra	p. 124
Completely bounded maps in the Banach space setting	p. 142
The Sz.-Nagy-Halmos similarity problem	p. 152
The Kadison Similarity Problem	p. 168
References	p. 182
Subject Index	p. 194
Notation Index	p. 197
Table of Contents provided by Blackwell. All Rights Reserved.

Lecture Notes in Mathematics

At a Glance

Paperback

Shipping

How to return your order

Defective items

You Can Find This Book In

More in Complex Analysis

Learning Algorithms

A Programmer's Guide to Writing Better Code

Mastering Shiny

Build Interactive Apps, Reports, and Dashboards Powered by R

Data Science on AWS

Implementing End-To-End, Continuous AI and Machine Learning Pipelines

Social Construction as a Complex Attractor

The Multiple Dimensions of Entanglement, Innovation and Recurrence

Data-Driven Modeling & Scientific Computation

Methods for Complex Systems & Big Data

Schaum's Outline of Complex Variables

Schaum's Outline Series

From Classical Analysis to Analysis on Fractals

A Tribute to Robert Strichartz, Volume 2

Harmonic Analysis Techniques for Elliptic Operators

Lecture Notes of the 27th Internet Seminar on Evolution Equations

Course In Analysis, A - Vol. Iv

Fourier Analysis, Ordinary Differential Equations, Calculus Of Variations

Learning Spark

Lightning-Fast Data Analytics

Triangular Bases of Unimodular Bilinear Lattices and Induced Structures

Automorphism Groups, Vanishing Cycles, Monodromy Groups, Braid Group Actions and Moduli Spaces

Lebesgue's Theory of Singular Integrals

Foundations of Modern Harmonic Analysis

Astral Space

Convex Analysis at Infinity

An Introduction to Univalent Functions

University Texts in the Mathematical Sciences

Real and Complex Analysis

Volume 1

From Numbers To Analysis

Constructions and Properties