Vol. 59, No. 2, 1975

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Some matrix transformations on analytic sequence spaces

Tom (Roy Thomas Jr.) Jacob

Vol. 59 (1975), No. 2, 487–491
Abstract

Let A denote the space of all complex sequences a such that if z is a complex number and |z| < 1 then anzn converges, and B the space of all complex sequences b for which there is a complex number z such that |z| > 1 and bnzn converges. In this paper we characterize matrix transformations from A to B and from B to A.

Mathematical Subject Classification 2000
Primary: 40C05
Milestones
Received: 23 January 1975
Revised: 22 July 1975
Published: 1 August 1975
Authors
Tom (Roy Thomas Jr.) Jacob