A Course in Functional Analysis

Functional analysis has become a sufficiently large area of mathematics that it is possible to find two research mathematicians, both of whom call themselves functional analysts, who have great difficulty understanding the work of the other The common thread is the existence of a linear space with

Functional Analysis

Part of the Student Series in Advanced Mathematics, this text is written for graduate courses in functional analysis Used in modern investigations in analysis and applied mathematics, it includes Kakutani s fixed point theorem, Lamonosov s invariant subspace theorem, and an ergodic theorem.

Operator Spaces

Operator space theory provides a synthesis of Banach space theory with the non commuting quantum variables of operator algebra theory, and it has led to exciting new approaches in both disciplines The authors begin by giving completely elementary proofs of the basic representation theorems for ab

The Functional Analysis of Quantum Information Theory: A Collection of Notes Based on Lectures by Gilles Pisier, K. R. Parthasarathy, Vern Paulsen and Andreas Winter (Lecture Notes in Physics)

This book provides readers with a concise introduction to current studies on operator algebras and their generalizations, operator spaces and operator systems, with a special focus on their application in quantum information science This basic framework for the mathematical formulation of quantum i

Linear Operators, 3-Volume Set

This set features Linear Operators, Part 1, General Theory 978 0 471 60848 6 , Linear Operators, Part 2, Spectral Theory, Self Adjoint Operators in Hilbert Space 978 0 471 60847 9 , and Linear Operators, Part 3, Spectral Operators 978 0 471 60846 2 , all by Neilson Dunford and Jacob T Sch

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Functional analysis is a broad mathematical area with strong connections to many domains within mathematics and physics This book, based on a first year graduate course taught by Robert J Zimmer at the University of Chicago, is a complete, concise presentation of fundamental ideas and theorems of

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Second order linear parabolic and elliptic equations arise frequently in mathematics and other disciplines For example parabolic equations are to be found in statistical mechanics and solid state theory, their infinite dimensional counterparts are important in fluid mechanics, mathematical finance