2019arXiv (Cornell University)Open access

AM-unbounded norm compact operators on Banach lattices

Zhangjun Wang, Zili, Chen, Chen Jinxi

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Abstract

In this paper, we introduce and study a new classes of operators, named AM-unbounded norm compact operators. We study the the basic properties of the new operator and we investigate the lattice-order and topology property of the operator space of AM-unbounded norm compact operator.

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In this paper, we introduce and study a new classes of operators, named AM-unbounded norm compact operators. We study the the basic properties of the new operator and we investigate the lattice-order and topology property of the operator space of AM-unbounded norm compact operator.

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Available abstract

In this paper, we introduce and study a new classes of operators, named AM-unbounded norm compact operators. We study the the basic properties of the new operator and we investigate the lattice-order and topology property of the operator space of AM-unbounded norm compact operator.

Key concepts: Compact operator, Operator norm, Mathematics, Compact operator on Hilbert space, Finite-rank operator, Norm (philosophy), Approximation property, Pure mathematics

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