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

Department of Mathematics
King's College London
Fakultät Mathematik
TU Dresden
Royal Holloway, University of London

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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10.1007/s00013-020-01538-0

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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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doi = "10.1007/s00013-020-01538-0",

language = "English",

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T1 - An estimate for narrow operators on Lp([0 , 1])

AU - Shargorodsky, Eugene

AU - Sharia, Teo

PY - 2020/11/5

Y1 - 2020/11/5

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

UR - https://www.scopus.com/pages/publications/85095607909

U2 - 10.1007/s00013-020-01538-0

DO - 10.1007/s00013-020-01538-0

M3 - Article

AN - SCOPUS:85095607909

SN - 0003-889X

VL - 116

SP - 321

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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])

Abstract

Keywords

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