IJPAM: Volume 27, No. 2 (2006)

ON BANACH SPACES OF ANALYTIC FUNCTIONS
AND MULTIPLICATION OPERATORS

A. Farrokhinia$^1$, B. Yousefi$^2$
$^1$ Department of Mathematics
Shiraz Islamic Azad University
Shiraz, IRAN
e-mail: [email protected]
$^2$Department of Mathematics
College of Sciences
Shiraz University
Shiraz, 71454, IRAN
e-mail: [email protected]


Abstract.We determine the general form of the operator $S:X \rightarrow X$ intertwining with the multiplication operators acting on $X$ where $X$ is a Banach space of analytic functions with some desired properties.

Received: July 7, 2005

AMS Subject Classification: 47B35, 47B38

Key Words and Phrases: Banach spaces of analytic functions, bounded point evaluation, Fredholm Alternative Theorem, multiplication operators

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2006
Volume: 27
Issue: 2