2000•Czechoslovak Mathematical JournalOpen access

On copies of c 0 in the bounded linear operator space

Juan Carlos Ferrando, José M. Amigó

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Abstract

In this note we study some properties concerning certain copies of the classic Banach space c 0 in the Banach space $$L\left( {X,Y} \right)$$ of all bounded linear operators between a normed space X and a Banach space Y equipped with the norm of the uniform convergence of operators.

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In this note we study some properties concerning certain copies of the classic Banach space c 0 in the Banach space $$L\left( {X,Y} \right)$$ of all bounded linear operators between a normed space X and a Banach space Y equipped with the norm of the uniform convergence of operators.

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Available abstract

In this note we study some properties concerning certain copies of the classic Banach space c 0 in the Banach space $$L\left( {X,Y} \right)$$ of all bounded linear operators between a normed space X and a Banach space Y equipped with the norm of the uniform convergence of operators.

Key concepts: Mathematics, Banach space, Bounded operator, Approximation property, C0-semigroup, Bounded function, Finite-rank operator, Operator space

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