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ArticleOriginal scientific text

Title

Selfadjoint operator matrices with finite rows

Authors 1, 2

Affiliations

  1. Institute of Mathematics, Polish Academy of Sciences, Św. Tomasza 30, 31-027 Kraków, Poland
  2. Institute of Mathematics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland

Abstract

A generalization of the Carleman criterion for selfadjointness of Jacobi matrices to the case of symmetric matrices with finite rows is established. In particular, a new proof of the Carleman criterion is found. An extension of Jørgensen's criterion for selfadjointness of symmetric operators with "almost invariant" subspaces is obtained. Some applications to hyponormal weighted shifts are given.

Keywords

ENG
selfadjoint operator, band matrix, weighted shift

Bibliography

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Annales Polonici Mathematici
1997/66/1
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Pages:
155-172
Main language of publication
English
Received
1995-10-02
Published
1997
Exact and natural sciences