Finite Dimensional Translation Invariant Subspaces
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Finite Dimensional Translation Invariant Subspaces
Author | : Martin Enger |
Publisher | : |
Total Pages | : 34 |
Release | : 1968 |
Genre | : Invariant subspaces |
ISBN | : |
Translation Invariant Subspaces of Finite Dimension
Author | : P. M. Anselone |
Publisher | : |
Total Pages | : 10 |
Release | : 1963 |
Genre | : Functions |
ISBN | : |
Several simple proofs are given of the following theorem. Every finite dimensional translation invariant subspace W of the continuous functions on (minus infinity, infinity), or of the Schwartz distributions on (minus infinity, plus infinity), is spanned by a set of exponential monomials t to the (mu-1) power times e to the (lambda t) power, lambda lambda sub 1 ..., lambda sub k. Thus, W is the solution space o a homogeneous linear ordinary differential equation with constant coefficients. (Author).
Invariant Subspaces
Author | : Heydar Radjavi |
Publisher | : Springer Science & Business Media |
Total Pages | : 231 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3642655742 |
In recent years there has been a large amount of work on invariant subspaces, motivated by interest in the structure of non-self-adjoint of the results have been obtained in operators on Hilbert space. Some the context of certain general studies: the theory of the characteristic operator function, initiated by Livsic; the study of triangular models by Brodskii and co-workers; and the unitary dilation theory of Sz. Nagy and Foia!? Other theorems have proofs and interest independent of any particular structure theory. Since the leading workers in each of the structure theories have written excellent expositions of their work, (cf. Sz.-Nagy-Foia!? [1], Brodskii [1], and Gohberg-Krein [1], [2]), in this book we have concentrated on results independent of these theories. We hope that we have given a reasonably complete survey of such results and suggest that readers consult the above references for additional information. The table of contents indicates the material covered. We have restricted ourselves to operators on separable Hilbert space, in spite of the fact that most of the theorems are valid in all Hilbert spaces and many hold in Banach spaces as well. We felt that this restriction was sensible since it eases the exposition and since the separable-Hilbert space case of each of the theorems is generally the most interesting and potentially the most useful case.
Lectures on Invariant Subspaces
Author | : Henry Helson |
Publisher | : Academic Press |
Total Pages | : 143 |
Release | : 2013-10-22 |
Genre | : Mathematics |
ISBN | : 1483261522 |
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.
Invariant Subspaces and Allied Topics
Author | : Bhuri Singh Yadav |
Publisher | : |
Total Pages | : 188 |
Release | : 1990 |
Genre | : Functional analysis |
ISBN | : |
Invariant Subspaces 1969
Author | : Paul Richard Halmos |
Publisher | : |
Total Pages | : 124 |
Release | : 1969 |
Genre | : Functional analysis |
ISBN | : |
Abstract Harmonic Analysis
Author | : Edwin Hewitt |
Publisher | : Springer |
Total Pages | : 778 |
Release | : 2013-12-21 |
Genre | : Mathematics |
ISBN | : 3642620086 |
This book is a continuation of vol. I (Grundlehren vol. 115, also available in softcover), and contains a detailed treatment of some important parts of harmonic analysis on compact and locally compact abelian groups. From the reviews: "This work aims at giving a monographic presentation of abstract harmonic analysis, far more complete and comprehensive than any book already existing on the subject...in connection with every problem treated the book offers a many-sided outlook and leads up to most modern developments. Carefull attention is also given to the history of the subject, and there is an extensive bibliography...the reviewer believes that for many years to come this will remain the classical presentation of abstract harmonic analysis." Publicationes Mathematicae
Almost Invariant Measures
Author | : Ronald Larsen |
Publisher | : |
Total Pages | : 216 |
Release | : 1963 |
Genre | : Functional analysis |
ISBN | : |