IJPAM: Volume 35, No. 1 (2007)

ALL STANDARD FRAMES IN FINITELY OR
COUNTABLY HILBERT $\c$-MODULES

Amir Khosravi$^1$, F. Sattari$^2$
$^{1,2}$Faculty of Mathematical Sciences and Computer Engineering
University for Teacher Education
Taleghani Ave. 599, Tehran, 15614, IRAN
$^1$e-mails: khosravi@saba.tmu.ac.ir, khosravi_amir@yahoo.com


Abstract.In this paper we present some methods for generating standard frames of a finitely or countably generated Hilbert $\c$-module $H$ over a unital $\c$-algebra $A$ by using adjointable module maps on $H$ and Hilbert $A$-module . Finally, we characterize all standard frames of $H$.

Received: March 14, 2005

AMS Subject Classification: 46L99, 42C15, 46H25

Key Words and Phrases: frame, frame bounds, frame transform, frame operator

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 35
Issue: 1