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Lectures on Invariant Subspaces
1st Edition - January 1, 1964
Author: Henry Helson
9 7 8 - 1 - 4 8 3 2 - 6 1 5 2 - 2
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… Read more
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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.
PrefaceLecture I Analytic FunctionsLecture II Invariant SubspacesLecture III Individual TheoremsLecture IV Invariant Subspaces in LpLecture V Invariant Subspaces on the LineLecture VI Analytic Vector FunctionsLecture VII Vectorial Function TheoryLecture VIII Inner FunctionsLecture IX Range FunctionsLecture X Invariant Subspaces (in General)Lecture XI Factoring of Operator FunctionsReferences