A. R. Mirotin, A. A. Atvinovskii, “Inversion of a linear combination of values of the resolvent of a closed operator”, PFMT, 2014, Issue 3(20),Pages <nobr>77

This article is cited in 4 papers

MATHEMATICS

Inversion of a linear combination of values of the resolvent of a closed operator

A. R. Mirotin, A. A. Atvinovskii

F. Scorina Gomel State University, Gomel, Belarus

Abstract: The problem of the computation of the left inverse of a linear combination of values of the resolvent of a closed operator in a Banach space is solved. Several unsolved problems are formulated.

Keywords: closed operator, left inverse of an operator, resolvent, Banach space, functional calculus, Markov function.

UDC: 517.983.23: 517.983.5

Received: 06.06.2014