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Lectures on Invariant Subspaces grew out of a series of lectures given gave at the University of Uppsala in the spring of 1962, and again in Berkeley the following semester. Since the subject is rather loosely defined the lecture style seemed appropriate also for this written version. The book is written for a graduate student who knows a little, but not necessarily very much, about analytic functions and about Hilbert space. The book contains 11 lectures and begins with a discussion of analytic functions. This is followed by lectures covering invariant subspaces, individual theorems, invariant subspaces in Lp, invariant subspaces in the line, and analytic vector functions. Subsequent lectures cover vectorial function theory, inner functions, range functions, and factoring of operator functions.
Lecture I Analytic Functions
Lecture II Invariant Subspaces
Lecture III Individual Theorems
Lecture IV Invariant Subspaces in Lp
Lecture V Invariant Subspaces on the Line
Lecture VI Analytic Vector Functions
Lecture VII Vectorial Function Theory
Lecture VIII Inner Functions
Lecture IX Range Functions
Lecture X Invariant Subspaces (in General)
Lecture XI Factoring of Operator Functions
- No. of pages:
- © Academic Press 1964
- 1st January 1964
- Academic Press
- eBook ISBN: