Vol. 73, No. 1, 1977

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Products of Banach spaces that are uniformly rotund in every direction

Mark Andrew Smith

Vol. 73 (1977), No. 1, 215–219
Abstract

It is shown that the product of a collection of Banach spaces that are uniformly rotund in every direction (URED) over a URED Banach space need not be URED; this answers a question raised by M. M. Day. A positive result under an additional hypothesis is also proved.

Mathematical Subject Classification
Primary: 46B05, 46B05
Milestones
Received: 7 April 1976
Revised: 11 April 1977
Published: 1 November 1977
Authors
Mark Andrew Smith