Extension of linear functionals in Banach spaces of measurable functions

M. S. Braverman; G. Ya Lozanovskii

doi:10.1007/BF01146921

Extension of linear functionals in Banach spaces of measurable functions

M. S. Braverman
, G. Ya Lozanovskii

Department of Mathematics

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

Abstract

In this note the existence of an operator extending linear functionals from a subspace to the whole space is studied. It is shown that under certain conditions on the Banach lattice of measurable functions and on a suitable subspace, there exists a unique extension operator.

Original language	English
Pages (from-to)	969-973
Number of pages	5
Journal	Mathematical Notes of the Academy of Sciences of the USSR
Volume	20
Issue number	5
DOIs	https://doi.org/10.1007/BF01146921
State	Published - 1 Nov 1976

ASJC Scopus subject areas

General Mathematics

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title = "Extension of linear functionals in Banach spaces of measurable functions",

abstract = "In this note the existence of an operator extending linear functionals from a subspace to the whole space is studied. It is shown that under certain conditions on the Banach lattice of measurable functions and on a suitable subspace, there exists a unique extension operator.",

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T1 - Extension of linear functionals in Banach spaces of measurable functions

AU - Braverman, M. S.

AU - Lozanovskii, G. Ya

PY - 1976/11/1

Y1 - 1976/11/1

N2 - In this note the existence of an operator extending linear functionals from a subspace to the whole space is studied. It is shown that under certain conditions on the Banach lattice of measurable functions and on a suitable subspace, there exists a unique extension operator.

AB - In this note the existence of an operator extending linear functionals from a subspace to the whole space is studied. It is shown that under certain conditions on the Banach lattice of measurable functions and on a suitable subspace, there exists a unique extension operator.

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U2 - 10.1007/BF01146921

DO - 10.1007/BF01146921

M3 - Article

AN - SCOPUS:34250290785

SN - 0001-4346

VL - 20

SP - 969

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JO - Mathematical Notes of the Academy of Sciences of the USSR

JF - Mathematical Notes of the Academy of Sciences of the USSR

IS - 5

ER -

Extension of linear functionals in Banach spaces of measurable functions

Abstract

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