6533b82ffe1ef96bd1296405

RESEARCH PRODUCT

Some Non-linear Geometrical Properties of Banach Spaces

Domingo GarcíaManuel Maestre

subject

Unit sphereMathematics::Functional AnalysisNonlinear systemPure mathematicsUniform continuityMultilinear mapBanach spaceHolomorphic functionBall (mathematics)Disk algebraMathematics

description

In this survey we report on very recent results about some non-linear geometrical properties of many classes of real and complex Banach spaces and uniform algebras, including the ball algebra \(\fancyscript{A}_u(B_X)\) of all uniformly continuous functions on the closed unit ball and holomorphic on the open unit ball of a complex Banach space \(X\). These geometrical properties are: Polynomial numerical index, Polynomial Daugavet property and Bishop-Phelp-Bollobas property for multilinear mappings.

yearjournalcountryeditionlanguage
2014-01-01
https://doi.org/10.1007/978-3-319-05224-3_11