ℱ-bases with brackets and with individual brackets in Banach spaces

• Autorzy: Tomasz Kochanek
• Języki publikacji: EN

Abstrakty

EN

We provide a partial answer to the question of Vladimir Kadets whether given an ℱ-basis of a Banach space X, with respect to some filter ℱ ⊂ 𝒫(ℕ), the coordinate functionals are continuous. The answer is positive if the character of ℱ is less than 𝔭. In this case every ℱ-basis is an M-basis with brackets which are determined by an element of ℱ.

Kategorie tematyczne

• 46B15: Summability and bases

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2012
• Tom: 211
• Numer: 3
• Strony: 259-268

Daty

wydano

2012

Twórcy

autor

Tomasz Kochanek

• Institute of Mathematics, University of Silesia, Bankowa 14, 40-007 Katowice, Poland

Identyfikatory

DOI

10.4064/sm211-3-7