V. V. Zhikov, S. E. Pastukhova, “On the Trotter–Kato Theorem in a Variable Space”, Funktsional. Anal. i Prilozhen., 2007, Volume 41, Issue 4,Pages <nobr>22

This article is cited in 10 papers

On the Trotter–Kato Theorem in a Variable Space

V. V. Zhikov^a, S. E. Pastukhova^b

^a Vladimir State Pedagogical University
^b Moscow State Institute of Radio-Engineering, Electronics and Automation (Technical University)

Abstract: In this paper, the proof of a Trotter–Kato type theorem in a variable Banach space is given and some special cases and examples are considered.

Keywords: convergence in a variable space, two-scale convergence, resolvent convergence, Trotter–Kato theorem.

UDC: 517.9

Received: 08.11.2005

DOI: 10.4213/faa2876