A very weak topology for the Mikusinski field of operators

Harris Samuel Shultz

Vol. 47 (1973), No. 1, 251–255

DOI: 10.2140/pjm.1973.47.251

Abstract

Using a generalized Laplace transformation the Mikusinski field is given a topology T such that sequences which converge in the sense of Mikusinski converge with respect to T, such that the mapping q → q⁻¹ is continuous and such that the series ∑ (−λ)ⁿsⁿ∕n! converges to the translation operator e^−λs.

Mathematical Subject Classification 2000

Primary: 44A40

Milestones

Received: 26 April 1972

Published: 1 July 1973