Some results on the thickness and thinness of Banach spaces

Some results on the thickness and thinness of Banach spaces

In this paper we consider thickness and thinness of the unit sphere for infinite dimensional Banach spaces, as proposed by Whitley in [11]. We compute the thickness of several outer sums of Banach spaces and derive conclusions about the almost Daugavet property for those spaces. We also find estimat...

Teljes leírás

Elmentve itt :
Bibliográfiai részletek
Szerzők: Botelho Fernanda
Jamison James
Dokumentumtípus: Cikk
Megjelent: Bolyai Institute, University of Szeged Szeged 2012
Sorozat:Acta scientiarum mathematicarum 78 No. 1-2
Kulcsszavak:Matematika, Banach-tér
Tárgyszavak:
Természettudományok
Matematika
Online Access:http://acta.bibl.u-szeged.hu/16427
LEADER 01333nab a2200229 i 4500
001 acta16427
005 20260306122535.0
008 161015s2012 hu o 000 eng d
022 |a 0001-6969 
040 |a SZTE Egyetemi Kiadványok Repozitórium  |b hun 
041 |a eng 
100 1 |a Botelho Fernanda 
245 1 0 |a Some results on the thickness and thinness of Banach spaces  |h [elektronikus dokumentum] /  |c  Botelho Fernanda 
260 |a Bolyai Institute, University of Szeged  |b Szeged  |c 2012 
300 |a 173-186 
490 0 |a Acta scientiarum mathematicarum  |v 78 No. 1-2 
520 3 |a In this paper we consider thickness and thinness of the unit sphere for infinite dimensional Banach spaces, as proposed by Whitley in [11]. We compute the thickness of several outer sums of Banach spaces and derive conclusions about the almost Daugavet property for those spaces. We also find estimates of the thickness of unit sphere in Lp spaces, which allows to decide whether those spaces are almost Daugavet. In the last section we also present some results on the thinness of the unit sphere of some Banach spaces. 
650 4 |a Természettudományok 
650 4 |a Matematika 
695 |a Matematika, Banach-tér 
700 0 1 |a Jamison James  |e aut 
856 4 0 |u http://acta.bibl.u-szeged.hu/16427/1/math_078_numb_001_002_173-186.pdf  |z Dokumentum-elérés  

Hasonló tételek