Cantitate/Preț
Produs
Update 23 martie - COVID-19 - Informații privind activitatea Books Express

An Introduction to Banach Space Theory (Graduate Texts in Mathematics, nr. 183)

De (autor)
Notă GoodReads:
en Limba Engleză Hardback – 09 Oct 1998
Many important reference works in Banach space theory have appeared since Banach's "Théorie des Opérations Linéaires", the impetus for the development of much of the modern theory in this field. While these works are classical starting points for the graduate student wishing to do research in Banach space theory, they can be formidable reading for the student who has just completed a course in measure theory and integration that introduces the L_p spaces and would like to know more about Banach spaces in general. The purpose of this book is to bridge this gap and provide an introduction to the basic theory of Banach spaces and functional analysis. It prepares students for further study of both the classical works and current research. It is accessible to students who understand the basic properties of L_p spaces but have not had a course in functional analysis. The book is sprinkled liberally with examples, historical notes, and references to original sources. Over 450 exercises provide supplementary examples and counterexamples and give students practice in the use of the results developed in the text.
Citește tot Restrânge
Toate formatele și edițiile
Toate formatele și edițiile Preț Express
Paperback (1) 21653 lei  Economic 5-7 săpt. +23444 lei  12-20 zile
  Springer – 17 Oct 2012 21653 lei  Economic 5-7 săpt. +23444 lei  12-20 zile
Hardback (1) 34787 lei  Economic 5-7 săpt. +34446 lei  12-20 zile
  Springer – 09 Oct 1998 34787 lei  Economic 5-7 săpt. +34446 lei  12-20 zile

Din seria Graduate Texts in Mathematics

Preț: 34787 lei

Preț vechi: 57028 lei
-39%

Puncte Express: 522

Preț estimativ în valută:
6842 7533$ 6145£

Carte tipărită la comandă

Livrare economică 03-17 iulie
Livrare express 10-18 iunie pentru 35445 lei

Preluare comenzi: 021 569.72.76

Specificații

ISBN-13: 9780387984315
ISBN-10: 0387984313
Pagini: 599
Ilustrații: 1
Dimensiuni: 155 x 235 x 33 mm
Greutate: 1 kg
Ediția: 1998
Editura: Springer
Colecția Springer
Seria Graduate Texts in Mathematics

Locul publicării: New York, NY, United States

Public țintă

Graduate

Cuprins

1 Basic Concepts.- 1.1 Preliminaries.- 1.2 Norms.- 1.3 First Properties of Normed Spaces.- 1.4 Linear Operators Between Normed Spaces.- 1.5 Baire Category.- 1.6 Three Fundamental Theorems.- 1.7 Quotient Spaces.- 1.8 Direct Sums.- 1.9 The Hahn-Banach Extension Theorems.- 1.10 Dual Spaces.- 1.11 The Second Dual and Reflexivity.- 1.12 Separability.- 1.13 Characterizations of Reflexivity.- 2 The Weak and Weak Topologies.- 2.1 Topology and Nets.- 2.2 Vector Topologies.- 2.3 Metrizable Vector Topologies.- 2.4 Topologies Induced by Families of Functions.- 2.5 The Weak Topology.- 2.6 The Weak Topology.- 2.7 The Bounded Weak Topology.- 2.8 Weak Compactness.- 2.9 James’s Weak Compactness Theorem.- 2.10 Extreme Points.- 2.11 Support Points and Subreflexivity.- 3 Linear Operators.- 3.1 Adjoint Operators.- 3.2 Projections and Complemented Subspaces.- 3.3 Banach Algebras and Spectra.- 3.4 Compact Operators.- 3.5 Weakly Compact Operators.- 4 Schauder Bases.- 4.1 First Properties of Schauder Bases.- 4.2 Unconditional Bases.- 4.3 Equivalent Bases.- 4.4 Bases and Duality.- 4.5 James’s Space J.- 5 Rotundity and Smoothness.- 5.1 Rotundity.- 5.2 Uniform Rotundity.- 5.3 Generalizations of Uniform Rotundity.- 5.4 Smoothness.- 5.5 Uniform Smoothness.- 5.6 Generalizations of Uniform Smoothness.- A Prerequisites.- B Metric Spaces.- D Ultranets.- References.- List of Symbols.