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Representations of Linear Operators Between Banach Spaces
Edmunds, David E.; Evans, William D.
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Description for Representations of Linear Operators Between Banach Spaces
Hardcover. Representations of Linear Operators Between Banach Spaces Series: Operator Theory: Advances and Applications. Num Pages: 163 pages, 1 colour illustrations, biography. BIC Classification: PBKF. Category: (P) Professional & Vocational. Dimension: 237 x 160 x 15. Weight in Grams: 426.
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 ... Read more
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 ... Read more
Product Details
Format
Hardback
Publication date
2013
Publisher
Springer Basel Switzerland
Number of pages
164
Condition
New
Series
Operator Theory: Advances and Applications
Number of Pages
152
Place of Publication
Basel, Switzerland
ISBN
9783034806411
SKU
V9783034806411
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Representations of Linear Operators Between Banach Spaces
From the reviews: “Book presents an account of the spectral theory of operators acting in Banach spaces. … notes and comments at the end of each chapter give a fairly complete documentation, enabling the reader to trace the material to its sources, pursue the topics further and see them in context. As an authoritative account of a new and ... Read more