A remark on the Brézis–Browder theorem in finite dimensional spaces

John Cotrina

doi:10.1080/02331934.2017.1401072

A remark on the Brézis–Browder theorem in finite dimensional spaces

John Cotrina

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

1 Scopus citations

Abstract

Brézis and Browder gave an important characterization of maximal monotonicity for linear operators, in reflexive Banach spaces. In this paper, we show that this characterization also preserves the maximal p-monotonicity, in finite dimensional spaces.

Original language	English
Pages (from-to)	393-398
Number of pages	6
Journal	Optimization
Volume	67
Issue number	3
DOIs	https://doi.org/10.1080/02331934.2017.1401072
State	Published - 4 Mar 2018

Keywords

Maximal monotonicity
adjoint operator
cyclic monotonicity
linear operator

Access to Document

10.1080/02331934.2017.1401072

Cite this

@article{fa61e860c7c0442d8f574822b1501a0d,

title = "A remark on the Br{\'e}zis–Browder theorem in finite dimensional spaces",

abstract = "Br{\'e}zis and Browder gave an important characterization of maximal monotonicity for linear operators, in reflexive Banach spaces. In this paper, we show that this characterization also preserves the maximal p-monotonicity, in finite dimensional spaces.",

keywords = "Maximal monotonicity, adjoint operator, cyclic monotonicity, linear operator, Maximal monotonicity, adjoint operator, cyclic monotonicity, linear operator",

author = "John Cotrina",

year = "2018",

month = mar,

day = "4",

doi = "10.1080/02331934.2017.1401072",

language = "English",

volume = "67",

pages = "393--398",

journal = "Optimization",

issn = "0233-1934",

publisher = "Taylor and Francis Ltd.",

number = "3",

}

TY - JOUR

T1 - A remark on the Brézis–Browder theorem in finite dimensional spaces

AU - Cotrina, John

PY - 2018/3/4

Y1 - 2018/3/4

N2 - Brézis and Browder gave an important characterization of maximal monotonicity for linear operators, in reflexive Banach spaces. In this paper, we show that this characterization also preserves the maximal p-monotonicity, in finite dimensional spaces.

AB - Brézis and Browder gave an important characterization of maximal monotonicity for linear operators, in reflexive Banach spaces. In this paper, we show that this characterization also preserves the maximal p-monotonicity, in finite dimensional spaces.

KW - Maximal monotonicity

KW - adjoint operator

KW - cyclic monotonicity

KW - linear operator

KW - Maximal monotonicity

KW - adjoint operator

KW - cyclic monotonicity

KW - linear operator

UR - https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85033730274&origin=inward

UR - https://www.scopus.com/inward/citedby.uri?partnerID=HzOxMe3b&scp=85033730274&origin=inward

U2 - 10.1080/02331934.2017.1401072

DO - 10.1080/02331934.2017.1401072

M3 - Article in a journal

SN - 0233-1934

VL - 67

SP - 393

EP - 398

JO - Optimization

JF - Optimization

IS - 3

ER -

A remark on the Brézis–Browder theorem in finite dimensional spaces

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this