CM-ideals and L1-matricial split faces

Ghatak Anindya and Karn Anil Kumar: CM-ideals and L1-matricial split faces. In: Acta scientiarum mathematicarum, (85) 3-4. pp. 659-679. (2019)

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Abstract

We discuss the order-theoretic properties of CM-ideals in matricially order smooth∞-normed spaces. We study the relation between CM-ideals and CL-summands in the matrix duality setup. We introduce the notion of L1-matricial split faces in an L1-matricially normed space and characterize CM-ideals in a matricially order smooth∞-normed space Vin terms of the L1-matricial split face of the L1-matrix convex set{Qn(V)}.

Item Type: Article
Journal or Publication Title: Acta scientiarum mathematicarum
Date: 2019
Volume: 85
Number: 3-4
ISSN: 2064-8316
Page Range: pp. 659-679
Related URLs: http://acta.bibl.u-szeged.hu/66425/
DOI: 10.14232/actasm-019-259-6
Uncontrolled Keywords: Operátor terek, Operátor elméletek
Additional Information: Bibliogr.: p. 678-679.
Date Deposited: 2020. Apr. 23. 14:43
Last Modified: 2021. Mar. 25. 15:34
URI: http://acta.bibl.u-szeged.hu/id/eprint/66339

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