The Fuglede-Putnam theorem
and a generalization of Barría's lemma
Authors:
Toshihiro Okuyama and Keiichi Watanabe
Journal:
Proc. Amer. Math. Soc. 126 (1998), 2631-2634
MSC (1991):
Primary 47A62, 47A99; Secondary 47B20
DOI:
https://doi.org/10.1090/S0002-9939-98-04355-X
MathSciNet review:
1451824
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
Abstract: Let 
and 
be bounded linear operators, and let 
be a partial isometry on a Hilbert space. Suppose that (1) 
, (2) 
, (3) 
and (4) 
. Then we have 
.
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for isometries 
and 
, Indiana Univ. Math. J. 28 (1979), 581-585. 
-hyponormal operators, Proc. Amer. Math. Soc. 83 (1981), 514-516. Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 47A62, 47A99, 47B20
Retrieve articles in all journals with MSC (1991): 47A62, 47A99, 47B20
Additional Information
Toshihiro Okuyama
Affiliation:
Department of Mathematics, Faculty of Science, Niigata University, Niigata 950-21, Japan
Address at time of publication:
Tsuruoka Minami Highschool, 26-31 Wakaba-cho, Tsuruoka Yamagata-ken 997-0037, Japan
Email:
wtnbk@scux.sc.niigata-u.ac.jp
Keiichi Watanabe
Affiliation:
Department of Mathematics, Faculty of Science, Niigata University, Niigata 950-21, Japan
Address at time of publication:
Department of Mathematics, Indiana University, Bloomington, Indiana 47405
DOI:
https://doi.org/10.1090/S0002-9939-98-04355-X
Received by editor(s):
October 19, 1995
Received by editor(s) in revised form:
January 27, 1997
Communicated by:
Palle E. T. Jorgensen
Article copyright:
© Copyright 1998
American Mathematical Society