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# $\nabla$-Fredgolm operators in Banach-Kantorovich spaces

### Abstract

The paper is devoted to studying $\nabla$-Fredholm operators in Banach-Kantorovich spaces over a ring of measurable functions. We show that a bounded linear operator acting in Banach-Kantorovich space is $\nabla$-Fredholm if and only if it can be represented as a sum of an invertible operator and a cyclically compact operator.

### Article Information

 Title $\nabla$-Fredgolm operators in Banach-Kantorovich spaces Source Methods Funct. Anal. Topology, Vol. 12 (2006), no. 3, 234-242 MathSciNet MR2261577 Copyright The Author(s) 2006 (CC BY-SA)

### Authors Information

K. K. Kudaybergenov
Institute of Mathematics, Uzbek Academy of Sciences, 29 F. Khodjaev, Tashkent, 700125, Uzbekistan

### Citation Example

K. K. Kudaybergenov, $\nabla$-Fredgolm operators in Banach-Kantorovich spaces, Methods Funct. Anal. Topology 12 (2006), no. 3, 234-242.

### BibTex

@article {MFAT326,
AUTHOR = {Kudaybergenov, K. K.},
TITLE = {$\nabla$-Fredgolm operators in Banach-Kantorovich spaces},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {12},
YEAR = {2006},
NUMBER = {3},
PAGES = {234-242},
ISSN = {1029-3531},
URL = {http://mfat.imath.kiev.ua/article/?id=326},
}