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

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

doi:10.4067/S0716-09172011000300004

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

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

^*Corresponding author for this work

Department of Mathematics, Manipal Institute of Technology, Manipal

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

6 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 language	English
Pages (from-to)	319-327
Number of pages	9
Journal	Proyecciones
Volume	30
Issue number	3
DOIs	https://doi.org/10.4067/S0716-09172011000300004
Publication status	Published - 01-12-2011

All Science Journal Classification (ASJC) codes

General Mathematics

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10.4067/S0716-09172011000300004

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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.",

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

Abstract

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