Numerical Ranges II

by Bonsall, F. F.

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Numerical Ranges II is a sequel to Numerical Ranges of Operators on Normed Spaces and of Elements of Normed Algebras.

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Title Statements

Full title :Numerical Ranges II.

Summary

Numerical Ranges II is a sequel to Numerical Ranges of Operators on Normed Spaces and of Elements of Normed Algebras.

Edition Statements

Publication Date:1973.

Publication Statements

Publisher(s):Cambridge University Press
Place of Publication:Cambridge
Language:eng
Publication Date:1973.

The Physical Object

Description:1 online resource (188 pages)

Edition Identifiers

ISBN:9781107093225, 1107093228, 0521202272, 9780521202275, 1299706703, 9781299706705, 9780511662515, 0511662513
oclc:ocn850148883
LC Classification:QA322.2 .B66
Dewey Decimal:512/.55

Cover; Title; Copyright; Contents; Introduction; 5· Spatial numerical ranges; 15. SOME ELEMENTARY OBSERVATIONS ON THE SPATIAL NUMERICAL RANGE; 16. THE IDSHOP-PHELPS-BOLLOBAS THEOREM; l 7. SOME NUMERICAL RANGE APPLICATIONS OF THE BISHOP-PHELPS-BOLLOBÁS THEOREM; 18. THE DEPENDENCE OF II(X) ON THE NORM; 19. A THEOREM OF ZENGER; 20. EIGENVALUES IN THE BOUNDARY OF THE NUMERICAL RANGE; 21. ABSOLUTE NORMS ON C2; 6· Algebra numerical ranges; 22. SOME ELEMENTARY OBSERVATIONS ON THE ALGEBRA NUMERICAL RANGE; 23. MAPPING THEOREMS FOR NUMERICAL RANGES; 24. THE EXTREMAL ALGEBRA Ea(K).

25. OTHER EXTREMAL ALGEBRAS26. PROPERTIES OF HERMITIAN ELEMENTS; 27. BANACH ALGEBRAS GENERATED BY A HERMITIAN ELEMENT; 28. COMPACT HERMITIAN OPERATORS; 29. EXAMPLES OF HERMITIAN ELEMENTS; 30. THE RUSSO-DYE-PALMER THEOREM; 31. THE LINEAR SPANS OF THE STATES; 32. NUMERICAL INDEX; 33. SPECTRAL OPERATORS; 7· Further ranges; 34. ESSENTIAL NUMERICAL RANGES; 35. JOINT NUMERICAL RANGES; 36. MATRIX RANGES; 37. SOME AXIOMS FOR NUMERICAL RANGES OF OPERATORS; Bibliography; Index.