The Action Constants
In this paper we introduce isometric invariants of a given n-dimensional Banach space (cf ), conjecture (cf ) 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.
KeywordsBanach Space Space Versus Action Constant Converse Inequality Extension Constant
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