Name: Introduction to Banach Spaces and Algebras (Oxford Graduate Texts in Mathematics) (en Inglés)
Price: 530246.00 COP
Availability: InStock
Author: Graham Allan; H. Garth Dales
ISBN: 9780199206537

portada Introduction to Banach Spaces and Algebras (Oxford Graduate Texts in Mathematics) (en Inglés)

Formato

Libro Físico

Editorial

Oxford University Press

Autor

Graham Allan; H. Garth Dales

Año

2010

Idioma

Inglés

N° páginas

371

Encuadernación

Tapa Dura

Peso

1.55

ISBN13

9780199206537

N° edición

Categorías

Análisis funcional y transformaciones

Introduction to Banach Spaces and Algebras (Oxford Graduate Texts in Mathematics) (en Inglés)

Graham Allan; H. Garth Dales (Autor) · Oxford University Press · Tapa Dura

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Reseña del libro "Introduction to Banach Spaces and Algebras (Oxford Graduate Texts in Mathematics) (en Inglés)"

Banach spaces and algebras are a key topic of pure mathematics. Graham Allan's careful and detailed introductory account will prove essential reading for anyone wishing to specialise in functional analysis and is aimed at final year undergraduates or masters level students. Based on the author's lectures to fourth year students at Cambridge University, the book assumes knowledge typical of first degrees in mathematics, including metric spaces, analytic topology, and complex analysis. However, readers are not expected to be familiar with the Lebesgue theory of measure and integration.The text begins by giving the basic theory of Banach spaces, including dual spaces and bounded linear operators. It establishes forms of the theorems that are the pillars of functional analysis, including the Banach-Alaoglu, Hahn-Banach, uniform boundedness, open mapping, and closed graph theorems. There are applications to Fourier series and operators on Hilbert spaces.The main body of the text is an introduction to the theory of Banach algebras. A particular feature is the detailed account of the holomorphic functional calculus in one and several variables; all necessary background theory in one and several complex variables is fully explained, with many examples and applications considered. Throughout, exercises at sections ends help readers test their understanding, while extensive notes point to more advanced topics and sources.The book was edited for publication by Professor H. G. Dales of Leeds University, following the death of the author in August, 2007.