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Notes on Operator Theory by Peter Fillmore is a nonfiction available to read on EtoBox.

What is Notes on Operator Theory about?

These notes represent the substance of a course of lec- tures I delivered at Indiana University in 1967. The audience was familiar with the basic theory of Hilbert spaces and op- erators up through the spectral theorem and the theory of spectral multiplicity. For many interesting and helpful con- versations I am indebted to R. G. Douglas, and to my col- leagues Arlen Brown, J. G. Stampfli, D. M. Topping and J..P. Williams. Contents: I n trod u cti on . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 o. Hyponormal Oper ators .... . . . . . . . . . . . . . . . . . 7 1. Shi fts ........ . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 2 . Mod e 1 s . . .. . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . 21 3. Invariant Subs paces of Simple Shifts........ 25 4. Invariant Subspaces of General Shi fts ....... 31 5. Analytic Representation of the Unilateral Shi ft . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45 6. Contractions.......... . . . . . . . . . . . . . . . . . . 49 7. Dilations ............................... 57 8. Naimark's Theorems on Dilations........... 65 9. Contractive Semi groups ................... 77 10 H . . S b 95 .

Who reads Notes on Operator Theory?

Author

Peter Fillmore

Publisher

Van Nostrand Reinhold Company

Published

1970

Language

EN

Category

nonfiction