On the representation of uncountable symmetric basic sets and its applications

• Autorzy: Francisco L. Hernandez , Stanimir L. Troyanski
• Języki publikacji: EN

Abstrakty

EN

It is shown that every uncountable symmetric basic set in an F-space with a symmetric basis is equivalent to a basic set generated by one vector. We apply this result to investigate the structure of uncountable symmetric basic sets in Orlicz and Lorentz spaces.

Słowa kluczowe

EN

symmetric basis; Orlicz sequence spaces; Lorentz sequence spaces

Kategorie tematyczne

• 46B03: Isomorphic theory (including renorming) of Banach spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1993
• Tom: 107
• Numer: 3
• Strony: 287-304

Daty

wydano

1993

otrzymano

1992-02-06

poprawiono

1993-05-27

Twórcy

autor

Francisco L. Hernandez

• Dept. Mathematical Analysis, Faculty of Mathematics, Complutense University, 28040 Madrid, Spain

autor

Stanimir L. Troyanski

• Dept. Mathematics & Informatics, Sofia University, 5, James Bourchier BLVD., 1126 Sofia, Bulgaria

Bibliografia

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• [T_2] S. Troyanski, On representation of uncountable symmetric basic sets, in: Proc. 5th Spring Conference of Math. and Math. Education (Gabrovo 1976), Sofia, 1990, 169-173 (in Russian).