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PROJECTIONS IN DUALS TO ASPLUND SPACES MADE WITHOUT SIMONS' LEMMA

Publikace na Matematicko-fyzikální fakulta |
2015

Tento text není v aktuálním jazyce dostupný. Zobrazuje se verze "en".Abstrakt

G. Godefroy and the second author of this note proved in 1988 that in duals to Asplund spaces there always exists a projectional resolution of the identity.

A few years later, Ch. Stegall succeeded to omit from the original proof a deep lemma of S.

Simons. Here, we rewrite the condensed argument of Ch.

Stegall in a more transparent and detailed way. We actually show that this technology of Ch.

Stegall leads to a bit stronger object - the projectional skeleton.