A maximal Monotone operator of type (D) for which maximal Monotone extension to the Bidual is not of type (D)

Orestes Bueno; Benar Fux Svaiter

A maximal Monotone operator of type (D) for which maximal Monotone extension to the Bidual is not of type (D)

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

2 Scopus citations

Abstract

We define a family of linear type (D) operators for which the inverse of their maximal monotone extensions to the bidual are not of type (D) and provide an example of an operator in this family.

Original language	English
Pages (from-to)	295-300
Number of pages	6
Journal	Journal of Convex Analysis
Volume	19
Issue number	1
State	Published - 20 Feb 2012
Externally published	Yes

Keywords

Banach space
Bidual
Extension
Maximal monotone
Type (d)

Cite this

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title = "A maximal Monotone operator of type (D) for which maximal Monotone extension to the Bidual is not of type (D)",

abstract = "We define a family of linear type (D) operators for which the inverse of their maximal monotone extensions to the bidual are not of type (D) and provide an example of an operator in this family.",

keywords = "Banach space, Bidual, Extension, Maximal monotone, Type (d), Banach space, Bidual, Extension, Maximal monotone, Type (d)",

author = "Orestes Bueno and Svaiter, {Benar Fux}",

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language = "English",

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T1 - A maximal Monotone operator of type (D) for which maximal Monotone extension to the Bidual is not of type (D)

AU - Bueno, Orestes

AU - Svaiter, Benar Fux

PY - 2012/2/20

Y1 - 2012/2/20

N2 - We define a family of linear type (D) operators for which the inverse of their maximal monotone extensions to the bidual are not of type (D) and provide an example of an operator in this family.

AB - We define a family of linear type (D) operators for which the inverse of their maximal monotone extensions to the bidual are not of type (D) and provide an example of an operator in this family.

KW - Banach space

KW - Bidual

KW - Extension

KW - Maximal monotone

KW - Type (d)

KW - Banach space

KW - Bidual

KW - Extension

KW - Maximal monotone

KW - Type (d)

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M3 - Article in a journal

SN - 0944-6532

VL - 19

SP - 295

EP - 300

JO - Journal of Convex Analysis

JF - Journal of Convex Analysis

IS - 1

ER -

A maximal Monotone operator of type (D) for which maximal Monotone extension to the Bidual is not of type (D)

Abstract

Keywords

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