IJPAM: Volume 76, No. 5 (2012)
ON THE PROPERTY (BAW)
Anuradha Gupta
, Neeru Kashyap
Department of Mathematics
Delhi College of Arts and Commerce
University of Delhi
Netaji Nagar, New Delhi, 110023, INDIA
Department of Mathematics
Bhaskaracharya College of Applied Sciences
University of Delhi
Dwarka, New Delhi, 110075, INDIA



Delhi College of Arts and Commerce
University of Delhi
Netaji Nagar, New Delhi, 110023, INDIA

Bhaskaracharya College of Applied Sciences
University of Delhi
Dwarka, New Delhi, 110075, INDIA
Abstract. In this paper we introduce and study the property (Baw). We show that if is a bounded linear operator acting on a Banach space
, then property (Baw) holds for
if and only if generalized a-Browder's theorem holds for
and
, where
is the set of left poles of
and
is the set of eigen values of finite multiplicity which are isolated in the approximate spectrum. We explore conditions on Hilbert space operators
and
so that property (Baw) holds for
.
Received: June 8, 2011
AMS Subject Classification: 47A10, 47A11, 47A53
Key Words and Phrases: Weyl's theorem, generalized a-Weyl's theorem, generalized a-Browder's theorem, property (Baw)
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 76
Issue: 5