ACCRETIVE OPERATORS AND BANACH ALAOGLU THEOREM IN LINEAR 2-NORMED SPACES

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

doi:10.4067/S0716-09172011000300004

P. K. Harikrishnan Manipal Institute of Technology.
Bernardo De La Fuerza Universidad de Almería.
K. T. Ravindran Payyanur College.

DOI: https://doi.org/10.4067/S0716-09172011000300004

Palabras clave: Linear 2, Normed spaces, Sequentially closed, Accretive operators, Weak compact, Homeomorphism, Banach Alaoglu theorem.

Resumen

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.

Citas

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