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Seminormality of operators from their tensor product
Author(s):
Jan
Stochel
Journal:
Proc. Amer. Math. Soc.
124
(1996),
135-140.
MSC (1991):
Primary 47B20;
Secondary 47A80
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Abstract:
The question of seminormality of tensor products of nonzero
bounded linear operators on Hilbert spaces is investigated. It is shown that  is subnormal if and only if so are  and  .
References:
- 1
- Ch. Berg, J. P. R. Christensen, and P. Ressel, Harmonic analysis on semigroups, Springer, Berlin, 1984. MR 86b:43001
- 2
- K. Clancey, Seminormal operators, Springer-Verlag, Berlin, Heidelberg, and New York, 1979. MR 81c:47002
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- J. B. Conway, The theory of subnormal operators, Amer. Math. Soc., Providence, RI, 1991. MR 92h:47026
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Additional Information:
Jan
Stochel
Affiliation:
Instytut Matematyki, Uniwersytet Jagiellonski, ul. Reymonta 4, PL-30059 Kraków, Poland
Email:
stochel@im.uj.edu.pl
DOI:
10.1090/S0002-9939-96-03017-1
PII:
S 0002-9939(96)03017-1
Keywords:
Tensor product,
seminormal operator,
subnormal operator,
Stieltjes moment sequence
Additional Notes:
This work was supported by a grant of the Komitet Badań Naukowych, Warsaw.
Dedicated:
Wlodzimierz Mlak in memoriam
Communicated by:
Palle E. T. Jorgensen
Copyright of article:
Copyright
1996,
American Mathematical Society
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