B. Jefferies, S. I. Piskarev, “Tauberian Theorems for Cosine Operator Functions”, Trudy Mat. Inst. Steklova, 2002, Volume 236,Pages <nobr>474

This article is cited in 1 paper

Tauberian Theorems for Cosine Operator Functions

B. Jefferies^a, S. I. Piskarev^b

^a University of New South Wales, School of Mathematics and Statistics
^b M. V. Lomonosov Moscow State University

Abstract: The paper is devoted to the investigation of Cesaro-type averaging convergence for cosine operator functions acting on a Banach space $X$. It is shown that the behavior of Cesaro-type averaging for polynomially bounded cosine operator functions is completely defined by the behavior of the resolvent in a neighborhood of zero.

UDC: 517.9

Received in December 2000

Language: English