Representations of Linear Operators Between Banach Space
نام عام مواد
[Book]
ساير اطلاعات عنواني
:[delta
نام نخستين پديدآور
/ by David E. Edmunds, W. Desmond Evans
وضعیت نشر و پخش و غیره
محل نشرو پخش و غیره
Basel
نام ناشر، پخش کننده و غيره
: Springer Basel :Imprint: Birkh?nuser,
تاریخ نشرو بخش و غیره
, 2013.
مشخصات ظاهری
نام خاص و کميت اثر
XI, 152 p. 1 illus. in color., online resource.
فروست
عنوان فروست
(Operator Theory
ساير اطلاعات عنواني
: Advances and Applications,0255-0156
مشخصه جلد
; 238)
یادداشتهای مربوط به نشر، بخش و غیره
متن يادداشت
Electronic
یادداشتهای مربوط به مندرجات
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.
متن يادداشت
1 Preliminaries -- 2 Representation of compact linear operators -- 3 Representation of bounded linear operators.?╗╣
فروست (داده ارتباطی)
عنوان
Operator Theory: Advances and Applications,0255-0156
شماره جلد
238
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Mathematics
موضوع مستند نشده
Operator theory
موضوع مستند نشده
Differential equations, partial
موضوع مستند نشده
Electronic books
رده بندی کنگره
شماره رده
E-BOOK
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )