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SELFADJOINTNESS OF INTEGRAL AND MATRIX OPERATORS

Published online by Cambridge University Press:  16 June 2006

DARIUSZ CICHOŃ ,
JAN STOCHEL  and
FRANCISZEK H. SZAFRANIEC
DARIUSZ CICHOŃ
Affiliation:
Instytut Matematyki, Uniwersytet Jagielloński, ul. Reymonta 4, PL-30059 Kraków, [email protected]
JAN STOCHEL
Affiliation:
Instytut Matematyki, Uniwersytet Jagielloński, ul. Reymonta 4, PL-30059 Kraków, [email protected]
FRANCISZEK H. SZAFRANIEC
Affiliation:
Instytut Matematyki, Uniwersytet Jagielloński, ul. Reymonta 4, PL-30059 Kraków, [email protected]
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Abstract

Criteria for selfadjointness of integral operators, including matrix operators, based on our earlier domination results are established. The range of applicability is elucidated by carefully chosen examples, not covered by previously known criteria.

Keywords

47B2547G1045P05 (primary)47B36 (secondary)
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 73 , Issue 3 , June 2006 , pp. 762 - 782
Copyright
The London Mathematical Society 2006

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Footnotes

This work was supported by the KBN Grant 2 P03A 037 024.