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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Conullity of operators on some $\textrm {FK}$-spaces
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by H. I. Brown and H. H. Stratton
Proc. Amer. Math. Soc. 25 (1970), 717-727
DOI: https://doi.org/10.1090/S0002-9939-1970-0261222-7

Abstract:

The notion of conullity for a subclass of the algebra of matrix operators on the space of convergent sequences is well known in summability theory. In this paper the space of convergent sequences is replaced by a general (locally convex) $FK$-space and the following question is studied: Given a subalgebra of the algebra of all continuous linear operators on this $FK$-space, is there a class of operators in this subalgebra whose behavior is β€œconull-like"? The question is answered in the case when the $FK$-space has a suitable (Schauder) basis and also in some other special cases.
References
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Bibliographic Information
  • © Copyright 1970 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 25 (1970), 717-727
  • MSC: Primary 40.50
  • DOI: https://doi.org/10.1090/S0002-9939-1970-0261222-7
  • MathSciNet review: 0261222