On perfectly homogeneous bases in Banach spaces

M. Zippin

doi:10.1007/BF02771642

On perfectly homogeneous bases in Banach spaces

M. Zippin^*

^*Corresponding author for this work

Einstein Institute of Mathematics

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

36 Scopus citations

Abstract

It is proved that a Banach space is isomorphic to c_o or to l_p if and only if it has a normalized basis {χ_i i_{} i=1}^∞ which is equivalent to every normalized block-basis with respect to {χ_i i_{} i=1}^∞ .

Original language	English
Pages (from-to)	265-272
Number of pages	8
Journal	Israel Journal of Mathematics
Volume	4
Issue number	4
DOIs	https://doi.org/10.1007/BF02771642
State	Published - Dec 1966

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title = "On perfectly homogeneous bases in Banach spaces",

abstract = "It is proved that a Banach space is isomorphic to c o or to l p if and only if it has a normalized basis {χi i } i=1 ∞ which is equivalent to every normalized block-basis with respect to {χi i } i=1 ∞ .",

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On perfectly homogeneous bases in Banach spaces

Abstract

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