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

Access to Document

10.1007/BF02771642

Cite this

@article{f739e867bd18435f9cc55ac8d0e903f1,

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 ∞ .",

author = "M. Zippin",

year = "1966",

month = dec,

doi = "10.1007/BF02771642",

language = "אנגלית",

volume = "4",

pages = "265--272",

journal = "Israel Journal of Mathematics",

issn = "0021-2172",

publisher = "Springer New York",

number = "4",

}

TY - JOUR

T1 - On perfectly homogeneous bases in Banach spaces

AU - Zippin, M.

PY - 1966/12

Y1 - 1966/12

N2 - 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 ∞ .

AB - 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 ∞ .

UR - https://www.scopus.com/pages/publications/51249192139

U2 - 10.1007/BF02771642

DO - 10.1007/BF02771642

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:51249192139

SN - 0021-2172

VL - 4

SP - 265

EP - 272

JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

IS - 4

ER -

On perfectly homogeneous bases in Banach spaces

Abstract

Access to Document

Other files and links

Fingerprint

Cite this