Types of tightness in spaces with unconditional basis

• Autorzy: Antonis Manoussakis , Anna Pelczar-Barwacz
• Języki publikacji: EN

Abstrakty

EN

We present a reflexive Banach space with an unconditional basis which is quasi-minimal and tight by range, i.e. of type (4) in Ferenczi-Rosendal's list related to Gowers' classification program of Banach spaces, but in contrast to the recently constructed space of type (4), our space is also tight with constants, thus essentially extending the list of known examples in Gowers' program. The space is defined on the basis of a boundedly modified mixed Tsirelson space with the use of a special coding function.

Kategorie tematyczne

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

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2014
• Tom: 220
• Numer: 3
• Strony: 243-264

Daty

wydano

2014

Twórcy

autor

Antonis Manoussakis

• Department of Environmental Engineering, Technical University of Crete, GR 73100, Greece

autor

Anna Pelczar-Barwacz

• Institute of Mathematics, Faculty of Mathematics and Computer Science, Jagiellonian University, Łojasiewicza 6, 30-348 Kraków, Poland

Identyfikatory

DOI

10.4064/sm220-3-3