MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
Invertible composition operators on Banach function spaces
Rajeev Kumar

Abstract

In this paper, we relate composition operators with multiplication operators on the general Banach function spaces on a $\sigma$-finite measure space. We use this relation to study the invertibility and Fredholmness properties of composition operators on the Banach function spaces.

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Keywords: Banach function spaces, closed range, composition operators, Fredholm operator, invertibility, measurable transformation.

MSC: 47B33, 46E30, 47B07, 46B70

Pages:  97--111     

Volume  59 ,  Issue  3 ,  2007