Functional analysis and infinite-dimensional geometry

著者

• Fabian, Marián J.

書誌事項

Functional analysis and infinite-dimensional geometry

Marián Fabian ... [et al.]

（CMS books in mathematics, 8）

Springer, c2001

• : pbk

注記

Includes bibliographical references and index

内容説明・目次

内容説明

This book introduces the basic principles of functional analysis and areas of Banach space theory that are close to nonlinear analysis and topology. The text can be used in graduate courses or for independent study. It includes a large number of exercises of different levels of difficulty, accompanied by hints.

目次

Preface * 1 Basic Concepts in Banach Spaces * 2 Hahn-Banach and Banach Open Mapping Theorems * 3 Weak Topologies * 4 Locally Convex Spaces * 5 Structure of Banach Spaces * 6 Schauder Bases * 7 Compact Operators on Banach Spaces * 8 Differentiability of Norms * 9 Uniform Convexity * 10 Smoothness and Structure * 11 Weakly Compactly Generated Spaces * 12 Topics in Weak Toplogy * References * Index

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BA52750652
• ISBN:
  • 9780387952192
  • 9781441929129
• LCCN: 00053773
• 出版国コード: us
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: New York
• ページ数/冊数: ix, 451 p.
• 大きさ: 25 cm
• 分類:
  • LCC : QA320
  • DC21 : 515/.7
• 件名:
  • LCSH : Functional analysis
  • LCSH : Banach spaces
• 親書誌ID:
  • BA46610557