On Certain Spaces of Ideal Operators

Wanjala Patrick Makila; Michael Onyango Ojiema; Achiles Nyongesa Simiyu

doi:10.51867/scimundi.3.1.9

Authors

Wanjala Patrick Makila Department of Mathematics, Masinde Muliro University of Science and Technology, P.O.Box 190-50100, Kakamega, Kenya https://orcid.org/0009-0009-7454-2922
Michael Onyango Ojiema Department of Mathematics, Masinde Muliro University of Science and Technology, P.O.Box 190-50100, Kakamega, Kenya https://orcid.org/0000-0001-9635-7597
Achiles Nyongesa Simiyu Department of Mathematics, Masinde Muliro University of Science and Technology, P.O.Box 190-50100, Kakamega, Kenya https://orcid.org/0000-0001-5737-030X

DOI:

https://doi.org/10.51867/scimundi.3.1.9

Keywords:

Operator Ideals, Spaces of Ideal

Abstract

We determine some important spaces of ideal operators and ideal characteristics. Special consideration
is given to Frechet spaces, Spaces of finite rank operators and spaces of Hahn-Banach extension operators.
The characteristics of ideals and related properties in these spaces as well as in some of their dual spaces
are obtained.

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