A stability property of the unit vector basis of l p

A. Szankowski; M. Zippin

doi:10.1007/BF02760328

A stability property of the unit vector basis of l_p

A. Szankowski^*, M. Zippin

^*Corresponding author for this work

Einstein Institute of Mathematics

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

1 Scopus citations

Abstract

Let {e_n} be the unit vector basis of l_p, l<p<∞, and let x_n=a_ne_n-b_ne n+1. Necessary and sufficient conditions are given for the operator T:l_p → span {x_n} defined by Te_i=x_i to be invertible.

Original language	English
Pages (from-to)	216-227
Number of pages	12
Journal	Israel Journal of Mathematics
Volume	20
Issue number	3-4
DOIs	https://doi.org/10.1007/BF02760328
State	Published - Sep 1975

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abstract = "Let \{e n\} be the unit vector basis of l p, l n=anen-bne n+1. Necessary and sufficient conditions are given for the operator T:l p → span \{x n\} defined by Te i=xi to be invertible.",

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AB - Let {e n} be the unit vector basis of l p, l n=anen-bne n+1. Necessary and sufficient conditions are given for the operator T:l p → span {x n} defined by Te i=xi to be invertible.

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A stability property of the unit vector basis of l_p

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