A formula for the sum of n weak* closed sets in L∞

Mohsen Zivari-Rezapour; Yichen Liu; Behrouz Emamizadeh

doi:10.5802/crmath.520

A formula for the sum of n weak* closed sets in L^∞

Mohsen Zivari-Rezapour, Yichen Liu^*, Behrouz Emamizadeh

^*Corresponding author for this work

Department of Applied Mathematics

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

1 Citation (Scopus)

Abstract

In this note, we derive an equation which describes the closure of a particular set comprising n−valued functions. This result provides an answer to a long standing question for which the particular case n = 2 had been known and used frequently in the optimal control problems.

Original language	English
Pages (from-to)	1635-1639
Number of pages	5
Journal	Comptes Rendus Mathematique
Volume	361
Issue number	G10
DOIs	https://doi.org/10.5802/crmath.520
Publication status	Published - 2023

Keywords

eigenvalues
formulation
n−valued functions
rearrangements
weak* closure

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10.5802/crmath.520

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title = "A formula for the sum of n weak* closed sets in L∞",

abstract = "In this note, we derive an equation which describes the closure of a particular set comprising n−valued functions. This result provides an answer to a long standing question for which the particular case n = 2 had been known and used frequently in the optimal control problems.",

keywords = "eigenvalues, formulation, n−valued functions, rearrangements, weak* closure",

author = "Mohsen Zivari-Rezapour and Yichen Liu and Behrouz Emamizadeh",

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AU - Zivari-Rezapour, Mohsen

AU - Liu, Yichen

AU - Emamizadeh, Behrouz

PY - 2023

Y1 - 2023

N2 - In this note, we derive an equation which describes the closure of a particular set comprising n−valued functions. This result provides an answer to a long standing question for which the particular case n = 2 had been known and used frequently in the optimal control problems.

AB - In this note, we derive an equation which describes the closure of a particular set comprising n−valued functions. This result provides an answer to a long standing question for which the particular case n = 2 had been known and used frequently in the optimal control problems.

KW - eigenvalues

KW - formulation

KW - n−valued functions

KW - rearrangements

KW - weak closure

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U2 - 10.5802/crmath.520

DO - 10.5802/crmath.520

M3 - Article

AN - SCOPUS:85179486516

SN - 1631-073X

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JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

IS - G10

ER -

A formula for the sum of n weak* closed sets in L^∞

Abstract

Keywords

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