Representations of linear operators between banach spaces | Perpustakaan Universitas Negeri Jakarta

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Representations of linear operators between banach spaces

Edmunds, David E. - Nama Orang; Evans, W. Desmond - Nama Orang;

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.

Ketersediaan

Perpustakaan Pusat E691

E691

Tersedia

Informasi Detail

Judul Seri: -
No. Panggil: E691
Penerbit: Swiss : Birkhauser Basel., 2013
Deskripsi Fisik: xi, 152 hlm.
Bahasa: English
ISBN/ISSN: 9783034806428
Klasifikasi: NONE
Tipe Isi: text
Tipe Media: computer
Tipe Pembawa: online resource
Edisi: Ed.1
Subjek: Persamaan Diferensial
Info Detail Spesifik: -
Pernyataan Tanggungjawab: David E. Edmunds, W. Desmond Evans

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Representations of linear operators between banach spaces
https://doi.org/10.1007/978-3-0348-0642-8

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