Wyniki wyszukiwania - BazTech

Ograniczanie wyników

Powiadomienia systemowe

Sesja wygasła!

Znaleziono wyników: 1

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: Chang's conjecture

Sortuj według:

Ogranicz wyniki do:

Projections in weakly compactly generated Banach spaces and Chang's conjecture

Koszmider P.

Journal of Applied Analysis

2005

Vol. 11, nr 2

187-205

Classical results on weakly compactly generated (WCG) Banach spaces imply the existence of projectional resolutions of identity (PRI) and the existence of many projections on separable sub-spaces (SCP). We address the questions if these can be the only projections in a nonseparable WCG space, in the sense that there is a PRI [wzór] such that any projection is the sum of an operator in the closure of the linear span of countably many P ∝'s (in the strong operator topology) and a separable range operator. Wark's modification of Shelah's and Steprans' construction provides an unconditional example for λ ω 2. We note that it is impossible for λ > ω 2.