A non-type (D) operator in c0

Orestes Bueno; B. F. Svaiter

doi:10.1007/s10107-013-0661-0

A non-type (D) operator in c₀

Orestes Bueno
, B. F. Svaiter

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

2 Scopus citations

Abstract

Previous examples of non-type (D) maximal monotone operators were restricted to \ell 1, L1, and Banach spaces containing isometric copies of these spaces. This fact led to the conjecture that non-type (D) operators were restricted to this class of Banach spaces. We present a linear non-type (D) operator in c0.

Original language	English
Pages (from-to)	81-88
Number of pages	8
Journal	Mathematical Programming
Volume	139
Issue number	1-2
DOIs	https://doi.org/10.1007/s10107-013-0661-0
State	Published - 1 Jun 2013
Externally published	Yes

Keywords

Banach space
Bidual
Extension
Maximal monotone
Type (D)

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10.1007/s10107-013-0661-0

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title = "A non-type (D) operator in c0",

abstract = "Previous examples of non-type (D) maximal monotone operators were restricted to \textbackslash{}ell 1, L1, and Banach spaces containing isometric copies of these spaces. This fact led to the conjecture that non-type (D) operators were restricted to this class of Banach spaces. We present a linear non-type (D) operator in c0.",

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

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AU - Svaiter, B. F.

PY - 2013/6/1

Y1 - 2013/6/1

N2 - Previous examples of non-type (D) maximal monotone operators were restricted to \ell 1, L1, and Banach spaces containing isometric copies of these spaces. This fact led to the conjecture that non-type (D) operators were restricted to this class of Banach spaces. We present a linear non-type (D) operator in c0.

AB - Previous examples of non-type (D) maximal monotone operators were restricted to \ell 1, L1, and Banach spaces containing isometric copies of these spaces. This fact led to the conjecture that non-type (D) operators were restricted to this class of Banach spaces. We present a linear non-type (D) operator in c0.

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)

UR - https://www.scopus.com/pages/publications/84879686863

U2 - 10.1007/s10107-013-0661-0

DO - 10.1007/s10107-013-0661-0

M3 - Article in a journal

SN - 0025-5610

VL - 139

SP - 81

EP - 88

JO - Mathematical Programming

JF - Mathematical Programming

IS - 1-2

ER -

A non-type (D) operator in c₀

Abstract

Keywords

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