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

Authors

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

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Keywords:

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.

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Published

2006-09-25

Issue

Vol. 12 No. 3 (2006)

Section

Articles

How to Cite

Kudaybergenov, K. K. “$\nabla$-Fredgolm Operators in Banach-Kantorovich Spaces”. Methods of Functional Analysis and Topology, vol. 12, no. 3, Sept. 2006, pp. 234-42, https://zen.imath.kiev.ua/index.php/mfat/article/view/316.