On Extension of Operators in Classes of Finitely Equivalent Banach Spaces. Part 1

Details On Extension of Operators in Classes of Finitely Equivalent Banach Spaces. Part 1 On Extension of Operators in Classes of Finitely Equivalent Banach Spaces. Part 1

2002-11-19

arxiv.org/abs/math/0211299v1

Mathematics

Functional Analysis

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Scientific paper

In the paper is considered two problems on extension of operators whose range space for the first problem (or domain space for the second one) belongs to the fixed class of finite equivalence, which is generated by a given Banach space $X$. Both problems are considered in two variants: isometric and isomorphic ones. Received a full solution of the first problem and the solution, close to final one for the second problem.

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