IJPAM: Volume 31, No. 2 (2006)

A NOTE ON EXACT BANACH FRAMES

S.K. Kaushik
Department of Mathematics
Kirorimal College
University of Delhi
Delhi, 110 007, INDIA
e-mail: shikk2003@yahoo.co.in


Abstract.Exact Banach frames of type $w$ has been introduced and studied. It has been proved that an exact Banach frame is exact of type $w$. The converse need not be true. A characterization for Banach frames which are exact of type $w$ has been given. Finally, it has been proved that a block perturbation of an exact Banach frame is an exact Banach frame.

Received: August 5, 2006

AMS Subject Classification: 42C15, 42A38, 46B15

Key Words and Phrases: frame, Banach frame, exact Banach frames, perturbation

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2006
Volume: 31
Issue: 2