عنوان

Representations of linear operators between Banach spaces /

شابک

3034806426 (electronic bk.)

شابک

9783034806428 (electronic bk.)

شابک اشتباه

9783034806411

شماره

b423345

عنوان اصلي

Representations of linear operators between Banach spaces /

نام عام مواد

[Book]

نام نخستين پديدآور

David E. Edmunds, W. Desmond Evans

نام خاص و کميت اثر

1 online resource (xi, 152 pages) :

ساير جزييات

color illustration

عنوان فروست

Operator theory, advances and applications,

مشخصه جلد

v.238

شاپا ي ISSN فروست

0255-0156 ;

متن يادداشت

Includes bibliographical references and indexes

متن يادداشت

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

عنوان

OhioLINK electronic book center (Online)

عنوان

SpringerLink

موضوع مستند نشده

Banach spaces

موضوع مستند نشده

Linear operators

موضوع مستند نشده

MAT-- 005000

موضوع مستند نشده

MAT-- 034000

موضوع مستند نشده

MAT037000

موضوع مستند نشده

PBKF

شماره

ويراست

شماره رده

مستند نام اشخاص تاييد نشده

Edmunds, D. E., (David Eric)

مستند نام اشخاص تاييد نشده

Evans, W. D.

مستند نام تنالگان تاييد نشده

Ohio Library and Information Network

تاريخ عمليات

20140326083904.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y