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A characterization of closed range operators
, M.T. Nair
Published in
2000
Volume: 31
   
Issue: 4
Pages: 353 - 361
Abstract
We prove that if T : X → Y is a bounded linear operator between Hubert spaces X and Y, then the range of T is closed in Y if and only if 0 is not an accumulation point of the spectrum of T*T. We supply three proofs of this result as applications of different concepts in basic operator theory.
About the journal
JournalIndian Journal of Pure and Applied Mathematics
ISSN00195588