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Some aspects of volume estimates to various parameters in Banach spaces. (English) Zbl 0537.46024

Banach space theory, Proc. Res. Workshop, Univ. Iowa 1981, 23-53 (1982).
[For the entire collection see Zbl 0496.00007.]
The authors use volume estimates in order to compute various constants associated with properties of finite dimensional Banach spaces, such as unconditional basis constant.
A unicity property, pertaining to maximal (and minimal) volume images of the unit ball of a Banach space into another one of same dimensionality is introduced.
Reviewer: J.-Th.Lapreste

MSC:

46B20 Geometry and structure of normed linear spaces
46B25 Classical Banach spaces in the general theory

Citations:

Zbl 0496.00007