This comprehensive volume provides an up-to-date account of those parts of the theory of bounded and closed linear operators in Banach and Hilbert spaces relevant to spectral problems involving differential equations. For the first time it brings together recent results in essential spectra, measures of non-compactness, entropy numbers, approximation numbers, eigenvalues, and the relationships among these concepts. The authors illustrate abstract theory with results for embedding maps between Sobolev spaces. Strong emphasis is placed on application to boundary-value problems for general second-order linear elliptic equations in an arbitrary domain in Rn. The book introduces some key Eastern European work, never before available in English translation.
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D. E. Edmunds is Professor of Mathematics at the University of Susses. W. D. Evans is Professor of Mathematics at University College, Cardiff.Review:
"This is a pure mathematics book that should satisfy the purist of mathematicians....The authors have been extremely thorough and interesting; the publishers have done an excellent job....It is a well-organized succession of theorems and proofs....Every university library should have it on their shelves." --Applied Optics
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Descripción Oxford University Press, 1989. Paperback. Estado de conservación: New. Never used!. Nº de ref. de la librería P110198535708
Descripción Oxford University Press, 1989. Paperback. Estado de conservación: New. book. Nº de ref. de la librería M0198535708