2012DergiPark (Istanbul University)Open access

On Operators of Strong Type B

Şafak Alpay

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Abstract

We discuss operators of strong type B between a Banach lattice and a Banach space and give necessary and sufficient conditions for this class of operators to coincide with weakly compact operators.

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We discuss operators of strong type B between a Banach lattice and a Banach space and give necessary and sufficient conditions for this class of operators to coincide with weakly compact operators.

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Available abstract

We discuss operators of strong type B between a Banach lattice and a Banach space and give necessary and sufficient conditions for this class of operators to coincide with weakly compact operators.

Key concepts: Mathematics, Banach space, Pure mathematics, Operator theory, Finite-rank operator, Approximation property, Class (philosophy), Type (biology)

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