ON The SM -Operators



Soeparna Darmawijaya(1*), Muslim Ansori(2), - Supama(3)

(1) Mathematics Departement, FMIPA UGM, Yogyakarta
(2) Mathematics Departement, FMIPA Universitas Lampung Jln. Soematri Brodjonegoro No 1 Bandar Lampung
(3) Mathematics Departement, FMIPA UGM, Yogyakarta
(*) Corresponding Author

Abstract


This is a partial part of our results in studying generalization of Hilbert-Schmidt and Carleman operators in Banach spaces. This problem can be done if we preserve some intrinsic properties of Hilbert spaces involved; for examples, reflexivity and separability. The result of the generalization of Hilbert-Schmidt operator will be called SM-operator. Infact, almost all of properties of the SM-operator preserve almost all of properties of the Hilbert-Schmidt operators. The application on some classical Banach spaces will appear in the next publications.

Keywords: Orthonormal Schauder bases,separable and reflexive Banach spaces, Hilbert- Schmidt operator

Keywords


Orthonormal Schauder bases,separable and reflexive Banach spaces, Hilbert- Schmidt operator

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ISSN 0215-9309 (Print)

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