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An asymmetric Putnam-Fuglede theorem for unbounded operators
Author(s):
Jan
Stochel
Journal:
Proc. Amer. Math. Soc.
129
(2001),
2261-2271.
MSC (2000):
Primary 47B20;
Secondary 47B15
Posted:
March 20, 2001
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Abstract:
The intertwining relations between cosubnormal and closed hyponormal (resp. cohyponormal and closed subnormal) operators are studied. In particular, an asymmetric Putnam-Fuglede theorem for unbounded operators is proved.
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Additional Information:
Jan
Stochel
Affiliation:
Instytut Matematyki, Uniwersytet Jagiellonski, Kraków, Poland
Email:
stochel@im.uj.edu.pl
DOI:
10.1090/S0002-9939-01-06127-5
PII:
S 0002-9939(01)06127-5
Keywords:
Normal operator,
subnormal operator,
hyponormal operator,
intertwining relation
Received by editor(s):
November 1, 1999
Posted:
March 20, 2001
Additional Notes:
This work was supported by KBN grant # 2P03A 041 10.
Dedicated:
Dedicated to Professor F. H. Szafraniec on the occasion of his sixtieth birthday
Communicated by:
Joseph A. Ball
Copyright of article:
Copyright
2001,
American Mathematical Society
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