In recent times, many constants in Banach spaces have been defined and/or studied. Relations and inequalities among them (sometimes very complicated) have been indicated, but not much effort has been devoted to organize all connections. Here we give some new connections which better the insight on some of them. In particular, we improve a known inequality between the von Neumann–Jordan and James constants.
Wheeling around von Neumann–Jordan constant in Banach spaces / J. Alonso; P. Martín; P. L. Papini. - In: STUDIA MATHEMATICA. - ISSN 0039-3223. - STAMPA. - 188:(2008), pp. 135-150. [10.4064/sm188-2-3]
Wheeling around von Neumann–Jordan constant in Banach spaces
PAPINI, PIER LUIGI
2008
Abstract
In recent times, many constants in Banach spaces have been defined and/or studied. Relations and inequalities among them (sometimes very complicated) have been indicated, but not much effort has been devoted to organize all connections. Here we give some new connections which better the insight on some of them. In particular, we improve a known inequality between the von Neumann–Jordan and James constants.File in questo prodotto:
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