Lectures on Invariant Subspaces

Lectures on Invariant Subspaces

1st Edition - January 1, 1964

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  • Author: Henry Helson
  • eBook ISBN: 9781483261522

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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.

Table of Contents

  • Preface

    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


Product details

  • No. of pages: 142
  • Language: English
  • Copyright: © Academic Press 1964
  • Published: January 1, 1964
  • Imprint: Academic Press
  • eBook ISBN: 9781483261522

About the Author

Henry Helson

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