DUALITY BETWEEN CARLEMAN AND SEMI-CARLEMAN OPERATORS IN RIESZ SPACES

Original Articles

DUALITY BETWEEN CARLEMAN AND SEMI-CARLEMAN OPERATORS IN RIESZ SPACES

Published in: Quaestiones Mathematicae
Volume 14 , issue 1 , 1991 , pages: 93–104
DOI: 10.1080/16073606.1991.9631625
Author(s): J.J. Grobler Department of Mathematics And Applied Mathematics, South Africa , G. Swanepoel Department of Mathematics And Applied Mathematics, South Africa
Keywords: 47B55 , 47B38

Abstract

The relation between Carleman and semi-Carleman operators is studied and it is shown that Carleman and semi- Carleman operators are mutually dual with respect to the formation of adjoints. This generalizes work of VB Korotkov.

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