A short course on approximation theory (Math682)

A short course on approximation theory (

✍ Carothers N.L. 📂 Library 📅 1998 🏛 Bowling Green 🌐 English ⚖ 707 KB

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 Spectral Theory

✍ William Arveson 📂 Library 📅 2001 🏛 Springer 🌐 English ⚖ 4 MB

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

✍ 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

✍ 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