Accretive operators and Banach Alaoglu theorem in linear 2-normed spaces

P. K. Harikrishnan, Bernardo La Fuerza Guillén, K. T. Ravindran

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

In this paper we introduce the concept of accretive operator in linear 2-normed spaces, focusing on the relationships and the various aspects of accretive, m-accretive and maximal accretive operators. We prove the analogous of Banach-Alaoglu theorem in linear 2- normed spaces, obtaining an equivalent definition for accretive operators in linear 2-normed spaces.

Original languageEnglish
Pages (from-to)319-327
Number of pages9
JournalProyecciones
Volume30
Issue number3
DOIs
Publication statusPublished - 01-12-2011

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Accretive Operator
Normed Space
Stefan Banach
Theorem
Maximal Operator

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Harikrishnan, P. K., Guillén, B. L. F., & Ravindran, K. T. (2011). Accretive operators and Banach Alaoglu theorem in linear 2-normed spaces. Proyecciones, 30(3), 319-327. https://doi.org/10.4067/S0716-09172011000300004
Harikrishnan, P. K. ; Guillén, Bernardo La Fuerza ; Ravindran, K. T. / Accretive operators and Banach Alaoglu theorem in linear 2-normed spaces. In: Proyecciones. 2011 ; Vol. 30, No. 3. pp. 319-327.
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Harikrishnan, PK, Guillén, BLF & Ravindran, KT 2011, 'Accretive operators and Banach Alaoglu theorem in linear 2-normed spaces', Proyecciones, vol. 30, no. 3, pp. 319-327. https://doi.org/10.4067/S0716-09172011000300004

Accretive operators and Banach Alaoglu theorem in linear 2-normed spaces. / Harikrishnan, P. K.; Guillén, Bernardo La Fuerza; Ravindran, K. T.

In: Proyecciones, Vol. 30, No. 3, 01.12.2011, p. 319-327.

Research output: Contribution to journalArticle

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