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http://dx.doi.org/10.4134/BKMS.2006.43.3.653
ON A TOPOLOGICAL DIVISOR OF ZERO IN THE CALKIN ALGEBRA
Lee, Hong-Youl
(Department of Mathematics Education, Woosuk University)
Publication Information
Bulletin of the Korean Mathematical Society
/
v.43, no.3
, 2006 , pp. 653-655
More about this Journal
More about this Journal
Frequency : Bimonthly
Publisher : Korean Mathematical Society
KISTI Subject :
SCOPUS Subject :
Mathematics (miscellaneous)
,
Algebra and Number Theory
,
Analysis
,
Applied Mathematics
,
Discrete Mathematics and Combinatorics
,
Numerical Analysis
Web of Science Subject :
Mathematics
,
Mathematics, Applied
Abstract
We give a simple proof of the statement that if T is a bounded linear operator on a complex HIlbert space then T is Fredholm if and only if
is not a TDZ, where
is the Catkin homomorphism.
Keywords
Fredholm operators; topological divisor of zeros;
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Reference
1
R. E. Harte, Invertibility and singularity for bounded linear operators, Dekker, New York, 1988
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