The Action Constants

B. L. Chalmers and B. Shekhtman
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B. L. Chalmers: University of California, Department of Mathematics
B. Shekhtman: University of South Florida, Department of Mathematics

A chapter in Approximation, Probability, and Related Fields, 1994, pp 161-166 from Springer

Abstract: Abstract In this paper we introduce isometric invariants of a given n-dimensional Banach space (cf [1]), conjecture (cf [1]) that these invariants characterize (up to isometry) the Banach space, and obtain several results and examples illustrating their usefulness. To start with, for a given space V, we look at the absolute projection constant and choose to view it as an extension constant of an identity operator on V.

Keywords: Banach Space; Space Versus; Action Constant; Converse Inequality; Extension Constant (search for similar items in EconPapers)
Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4615-2494-6_11

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DOI: 10.1007/978-1-4615-2494-6_11

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