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Representations of Linear Operators Between Banach Spaces: 238 (Operator Theory: Advances and Applications, 238) - Hardcover
Synopsis
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.
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From the Back Cover
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.
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Representations of Linear Operators Between Banach Spaces (Operator Theory: Advances and Applications, 238)
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Representations of Linear Operators Between Banach Spaces (Operator Theory: Advances and Applications)
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Representations of Linear Operators Between Banach Spaces (Operator Theory: Advances and Applications)
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Representations of Linear Operators Between Banach Spaces (Operator Theory: Advances and Applications, 238)
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Representations of Linear Operators Between Banach Spaces (Operator Theory: Advances and Applications, 238)
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Representations of Linear Operators Between Banach Spaces
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 168 pp. Englisch. Seller Inventory # 9783034806411
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Representations of Linear Operators Between Banach Spaces
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Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Seller Inventory # 9783034806411
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Representations of Linear Operators Between Banach Spaces
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Representations of Linear Operators Between Banach Spaces
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Representations of Linear Operators Between Banach Spaces
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