New characterizations of the unit vector basis of c0 or lp

Peter G. Casazza; Stephen J. Dilworth; Denka Kutzarova; Pavlos Motakis

doi:10.4153/S0008439523000176

New characterizations of the unit vector basis of c0 or lp

Peter G. Casazza, Stephen J. Dilworth, Denka Kutzarova, Pavlos Motakis

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Motivated by Altshuler's famous characterization of the unit vector basis of c0 or lp among symmetric bases [3], we obtain similar characterizations among democratic bases and among bidemocratic bases.We also prove a separate characterization of the unit vector basis of l1.

Original language	English (US)
Journal	Canadian Mathematical Bulletin
DOIs	https://doi.org/10.4153/S0008439523000176
State	Accepted/In press - 2023

ASJC Scopus subject areas

Mathematics(all)

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10.4153/S0008439523000176

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title = "New characterizations of the unit vector basis of c0 or lp",

abstract = "Motivated by Altshuler's famous characterization of the unit vector basis of c0 or lp among symmetric bases [3], we obtain similar characterizations among democratic bases and among bidemocratic bases.We also prove a separate characterization of the unit vector basis of l1.",

author = "Casazza, {Peter G.} and Dilworth, {Stephen J.} and Denka Kutzarova and Pavlos Motakis",

year = "2023",

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language = "English (US)",

journal = "Canadian Mathematical Bulletin",

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T1 - New characterizations of the unit vector basis of c0 or lp

AU - Casazza, Peter G.

AU - Dilworth, Stephen J.

AU - Kutzarova, Denka

AU - Motakis, Pavlos

PY - 2023

Y1 - 2023

N2 - Motivated by Altshuler's famous characterization of the unit vector basis of c0 or lp among symmetric bases [3], we obtain similar characterizations among democratic bases and among bidemocratic bases.We also prove a separate characterization of the unit vector basis of l1.

AB - Motivated by Altshuler's famous characterization of the unit vector basis of c0 or lp among symmetric bases [3], we obtain similar characterizations among democratic bases and among bidemocratic bases.We also prove a separate characterization of the unit vector basis of l1.

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JO - Canadian Mathematical Bulletin

JF - Canadian Mathematical Bulletin

ER -

New characterizations of the unit vector basis of c0 or lp

Abstract

ASJC Scopus subject areas

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