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

Eugene Tokarev

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

Functional Analysis 2007-05-23 v1

Authors: Eugene Tokarev

Abstract

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.

Keywords

operator extension finitely equivalent Banach spaces isometric isomorphic range space domain space

Cite

@article{arxiv.math/0211299,
  title  = {On Extension of Operators in Classes of Finitely Equivalent Banach Spaces. Part 1},
  author = {Eugene Tokarev},
  journal= {arXiv preprint arXiv:math/0211299},
  year   = {2007}
}

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