International Journal of Mathematics and Mathematical Sciences
Volume 11 (1988), Issue 2, Pages 221-229
doi:10.1155/S0161171288000262
Research Papers
Integrals of operator-valued functions
North Carolina State University, P.O. Box 8205, Raleigh 27695-8205, NC, USA
Received 25 April 1987; Revised 3 June 1987
Copyright © 1988 Raimond A. Struble. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
Mikusinski-type expansions of operator-valued functions are discussed in some detail. As a natural part of the development, a “kernel” concept for operators is proposed and an elaborate system of convolution quotients in one and two variables is obtained.