Representations of linear operators between Banach spaces / David E. Edmunds, W. Desmond Evans
| データ種別 | 電子書籍 |
|---|---|
| 出版者 | Basel ; New York : Birkhäuser |
| 出版年 | [2013] |
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| 書誌ID | OB01027571 |
|---|---|
| 本文言語 | 英語 |
| 一般注記 | Includes bibliographical references and index Basic notation -- 1. Preliminaries -- 2. Representation of compact linear operators -- 3. Representation of bounded linear operators. License restrictions may limit access The book deals with the representation in series form of compact linear operators acting between Banach spaces, and provides an analogue of the classical Hilbert space results of this nature that have their roots in the work of D. Hilbert, F. Riesz and E. Schmidt. The representation involves a recursively obtained sequence of points on the unit sphere of the initial space and a corresponding sequence of positive numbers that correspond to the eigenvectors and eigenvalues of the map in the Hilbert space case. The lack of orthogonality is partially compensated by the systematic use of polar sets. There are applications to the p-Laplacian and similar nonlinear partial differential equations. Preliminary material is presented in the first chapter, the main results being established in Chapter 2. The final chapter is devoted to the problems encountered when trying to represent non-compact maps -- Source other than Library of Congress |
| 著者標目 | *Edmunds, D. E (David Eric) Evans, William D |
| 件 名 | LCSH:Linear operators LCSH:Compact operators LCSH:Banach spaces FREE:Banach spaces FREE:Compact operators FREE:Linear operators |
| 分 類 | LCC:QA329.2 |
| 巻冊次 | alk. paper ; ISBN:9783034806411 RefWorks出力（各巻） alk. paper ; ISBN:3034806418 RefWorks出力（各巻） |
| 資料種別 | 機械可読データファイル |
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※2020年8月16日以降