The theory of pseudo-linear operators

Donal O'Regan

doi:10.1016/j.knosys.2012.07.003

The theory of pseudo-linear operators

Donal O'Regan

Mathematics

DigiPen Institute of Technology

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

12 Citations (Scopus)

Abstract

In the present paper we develop a theory of pseudo-linear operators. A generalization of the classical L-p spaces to the setting of pseudo-analysis is constructed. We obtain a Riesz representation theorem together with a Lax-Milgram type lemma. (c) 2012 Elsevier B.V. All rights reserved.

Original language	English (Ireland)
Pages (from-to)	19-26
Number of pages	7
Journal	Knowledge Based Systems
Volume	38
DOIs	https://doi.org/10.1016/j.knosys.2012.07.003
Publication status	Published - 1 Jan 2013

Keywords

Generalized L spaces
Pseudo-analysis
Pseudo-linear operator
Riesz representation theorem
g-Calculus

Authors (Note for portal: view the doc link for the full list of authors)

Authors
Bede, B;O'Regan, D

Access to Document

10.1016/j.knosys.2012.07.003

Cite this

@article{7d9a635cc6314bd5b9847f714f8864e1,

title = "The theory of pseudo-linear operators",

abstract = "In the present paper we develop a theory of pseudo-linear operators. A generalization of the classical L-p spaces to the setting of pseudo-analysis is constructed. We obtain a Riesz representation theorem together with a Lax-Milgram type lemma. (c) 2012 Elsevier B.V. All rights reserved.",

keywords = "Generalized L spaces, Pseudo-analysis, Pseudo-linear operator, Riesz representation theorem, g-Calculus",

author = "Donal O'Regan",

year = "2013",

month = jan,

day = "1",

doi = "10.1016/j.knosys.2012.07.003",

language = "English (Ireland)",

volume = "38",

pages = "19--26",

journal = "Knowledge Based Systems",

}

TY - JOUR

T1 - The theory of pseudo-linear operators

AU - O'Regan, Donal

PY - 2013/1/1

Y1 - 2013/1/1

N2 - In the present paper we develop a theory of pseudo-linear operators. A generalization of the classical L-p spaces to the setting of pseudo-analysis is constructed. We obtain a Riesz representation theorem together with a Lax-Milgram type lemma. (c) 2012 Elsevier B.V. All rights reserved.

AB - In the present paper we develop a theory of pseudo-linear operators. A generalization of the classical L-p spaces to the setting of pseudo-analysis is constructed. We obtain a Riesz representation theorem together with a Lax-Milgram type lemma. (c) 2012 Elsevier B.V. All rights reserved.

KW - Generalized L spaces

KW - Pseudo-analysis

KW - Pseudo-linear operator

KW - Riesz representation theorem

KW - g-Calculus

UR - https://www.scopus.com/pages/publications/84871608906

U2 - 10.1016/j.knosys.2012.07.003

DO - 10.1016/j.knosys.2012.07.003

M3 - Article

VL - 38

SP - 19

EP - 26

JO - Knowledge Based Systems

JF - Knowledge Based Systems

ER -

The theory of pseudo-linear operators

Abstract

Keywords

Authors (Note for portal: view the doc link for the full list of authors)

Access to Document

Other files and links

Fingerprint

Cite this