An estimate for narrow operators on Lp([0 , 1])

Eugene Shargorodsky; Teo Sharia

doi:10.1007/s00013-020-01538-0

An estimate for narrow operators on L^p([0 , 1])

Eugene Shargorodsky, Teo Sharia^*

^*Corresponding author for this work

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

1 Citation (Scopus)

Abstract

We prove a theorem, which generalises C. Franchetti’s estimate for the norm of a projection onto a rich subspace of L^p([0 , 1]) and the authors’ related estimate for compact operators on L^p([0 , 1]) , 1 ≤ p< ∞.

Original language	English
Pages (from-to)	321-326
Journal	ARCHIV DER MATHEMATIK
Volume	116
Issue number	3
DOIs	https://doi.org/10.1007/s00013-020-01538-0
Publication status	Published - 5 Nov 2020

Keywords

Estimate
Narrow operator
Norm

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title = "An estimate for narrow operators on Lp([0 , 1])",

abstract = "We prove a theorem, which generalises C. Franchetti{\textquoteright}s estimate for the norm of a projection onto a rich subspace of Lp([0 , 1]) and the authors{\textquoteright} related estimate for compact operators on Lp([0 , 1]) , 1 ≤ p< ∞.",

keywords = "Estimate, Narrow operator, Norm",

author = "Eugene Shargorodsky and Teo Sharia",

year = "2020",

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AU - Sharia, Teo

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N2 - We prove a theorem, which generalises C. Franchetti’s estimate for the norm of a projection onto a rich subspace of Lp([0 , 1]) and the authors’ related estimate for compact operators on Lp([0 , 1]) , 1 ≤ p< ∞.

AB - We prove a theorem, which generalises C. Franchetti’s estimate for the norm of a projection onto a rich subspace of Lp([0 , 1]) and the authors’ related estimate for compact operators on Lp([0 , 1]) , 1 ≤ p< ∞.

KW - Estimate

KW - Narrow operator

KW - Norm

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U2 - 10.1007/s00013-020-01538-0

DO - 10.1007/s00013-020-01538-0

M3 - Article

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JO - ARCHIV DER MATHEMATIK

JF - ARCHIV DER MATHEMATIK

IS - 3

ER -

An estimate for narrow operators on L^p([0 , 1])

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Keywords

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