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Can I read Representations of Linear Operators Between Banach Spaces (Operator Theory: Advances and Applications Book 238) on EtoBox?
Representations of Linear Operators Between Banach Spaces (Operator Theory: Advances and Applications Book 238) by David E. Edmunds, W. Desmond Evans (auth.) is a nonfiction available to read on EtoBox.
What is Representations of Linear Operators Between Banach Spaces (Operator Theory: Advances and Applications Book 238) about?
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.
Who reads Representations of Linear Operators Between Banach Spaces (Operator Theory: Advances and Applications Book 238)?
It is typically read by self-directed learners exploring a subject in depth.
Common subject areas: history, science, philosophy, social sciences.
- Author
- David E. Edmunds, W. Desmond Evans (auth.)
- Publisher
- Birkhäuser Basel
- Published
- 2013
- Language
- EN
- ISBN
- 9783034806428
- Category
- nonfiction
- Subjects
- Mathematics, Stem
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