𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A Short Course on Spectral Theory

✍ Scribed by William Arveson

Book ID
127433301
Publisher
Springer
Year
2001
Tongue
English
Weight
4 MB
Edition
1
Category
Library
ISBN
0387215182

No coin nor oath required. For personal study only.

✦ Synopsis

This book presents the basic tools of modern analysis within the context of the fundamental problem of operator theory: to calculate spectra of specific operators on infinite dimensional spaces, especially operators on Hilbert spaces. The tools are diverse, and they provide the basis for more refined methods that allow one to approach problems that go well beyond the computation of spectra: the mathematical foundations of quantum physics, noncommutative k-theory, and the classification of simple C*-algebras being three areas of current research activity which require mastery of the material presented here. The book is based on a fifteen-week course which the author offered to first or second year graduate students with a foundation in measure theory and elementary functional analysis.

✦ Subjects

Функциональный анализ

📜 SIMILAR VOLUMES

A Short Course on Spectral Theory
A Short Course on Spectral Theory
✍ William Arveson (auth.) 📂 Library 📅 2002 🏛 Springer 🌐 English ⚖ 701 KB

This book presents the basic tools of modern analysis within the context of the fundamental problem of operator theory: to calculate spectra of specific operators on infinite dimensional spaces, especially operators on Hilbert spaces. The tools are diverse, and they provide the basis for more refine

A short course on Banach space theory
A short course on Banach space theory
✍ N. L. Carothers 📂 Library 📅 2004 🏛 Cambridge University Press 🌐 English ⚖ 795 KB

This is a short course on Banach space theory with special emphasis on certain aspects of the classical theory. In particular, the course focuses on three major topics: The elementary theory of Schauder bases, an introduction to Lp spaces, and an introduction to C(K) spaces. While these topics can b

A Short Course on Banach Space Theory
A Short Course on Banach Space Theory
✍ Carothers N.L. 📂 Library 📅 2004 🌐 English ⚖ 1 MB

This short course on classical Banach space theory is a natural follow-up to a first course on functional analysis. The topics covered have proven useful in many contemporary research arenas, such as harmonic analysis, the theory of frames and wavelets, signal processing, economics, and physics. The

A Short Course on the Lebesgue Integral
A Short Course on the Lebesgue Integral and Measure Theory
✍ Steve Cheng 📂 Library 📅 1990 🏛 Perseus Books (Sd) 🌐 English ⚖ 430 KB

This article develops the basics of the Lebesgue integral and measure theory. In terms of content, it adds nothing new to any of the existing textbooks on the subject. But our approach here will be to avoid unduly abstractness and absolute generality, instead focusing on producing proofs of useful r