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Completing the Riesz-Dunford Functional Calculus

By: John B. Conway,Domingo A. Herrero,Bernard B. Morrel

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Completing the Riesz-Dunford Functional Calculus

By: John B. Conway,Domingo A. Herrero,Bernard B. Morrel

Let [script lowercase]f be any analytic function defined in a neighborhood of the non-empty set [italic]E and let [script]S([italic]E) denote the set of all operator having spectrum included in [italic]E. In this paper the closure and interior of the set [script lowercase]f([script]S([italic]E)) [identical equality] {[script lowercase]f([italic]A): [italic]A [set membership] [script]S([italic]E)} are characterized. Some applications serve to illustrate the interplay between the analyticity of the functions and the spectral behavior of the operators.

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Page Count

113

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821824805

ISBN 13

9780821824801

Applied Calculus

By: Marvin L. Bittinger,Bernard B. Morrel

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Applied Calculus

By: Marvin L. Bittinger,Bernard B. Morrel

Appropriate for a two-term course, this text is an introduction to calculus as applied to business, economics, the life- and physical sciences, the social sciences, and many general areas of interest to students. A course in intermediate algebra is prerequisite for the text. This revised and updated edition (2nd was 1988) contains a greater emphasis on graphing, and significantly expands the number of applications, with those relating to business and economics increased by about 40%. Annotation copyright by Book News, Inc., Portland, OR

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Page Count

808

Publisher

Addison Wesley Publishing Company

Published Date

ISBN 10

0201122111

ISBN 13

9780201122114

Book's by Bernard B. Morrel

Completing the Riesz-Dunford Functional Calculus

Completing the Riesz-Dunford Functional Calculus

Applied Calculus

Applied Calculus

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