Geodesic
Types of tightness in spaces with unconditional basis
Antonis Manoussakis 1   ; Anna Pelczar-Barwacz 2
1 Department of Environmental Engineering Technical University of Crete GR 73100, Greece
2 Institute of Mathematics Faculty of Mathematics and Computer Science Jagiellonian University Łojasiewicza 6 30-348 Kraków, Poland
Studia Mathematica, Tome 220 (2014) no. 3, pp. 243-264 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/sm220-3-3
Keywords: present reflexive banach space unconditional basis which quasi minimal tight range type ferenczi rosendals list related gowers classification program banach spaces contrast recently constructed space type space tight constants essentially extending list known examples gowers program space defined basis boundedly modified mixed tsirelson space special coding function

Antonis Manoussakis  1   ; Anna Pelczar-Barwacz  2

1 Department of Environmental Engineering Technical University of Crete GR 73100, Greece
2 Institute of Mathematics Faculty of Mathematics and Computer Science Jagiellonian University Łojasiewicza 6 30-348 Kraków, Poland 
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Antonis Manoussakis; Anna Pelczar-Barwacz. Types of tightness in spaces with unconditional basis. Studia Mathematica, Tome 220 (2014) no. 3, pp. 243-264. doi: 10.4064/sm220-3-3

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