Browsing by Autor "Harikrishnan Panackal"

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    ACCRETIVE OPERATORS AND BANACH ALAOGLU THEOREM IN LINEAR 2-NORMED SPACES
    (2011) Harikrishnan Panackal; Bernardo Lafuerza–Guillén; K. T. Ravindran
    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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    RIESZ THEOREMS IN 2-INNER PRODUCT SPACES
    (2011) Harikrishnan Panackal; P. Riyas; K. T. Ravindran
    Abstract. In this paper we describe the proof of ’Riesz Theorems ’ in 2-inner product spaces. The main result holds only for a b-linear functional but not for a bilinear functional.
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    Some results of accretive operators and convex sets in 2-probabilistic normed space
    (2012) Harikrishnan Panackal; K. T. Ravindran
    In this paper we introduce the concept of accretive opera- tors, discuss some properties of resolvents of an accretive operator in 2-probabilistic normed spaces and focusing on the results of convex sets in 2-probabilistic normed spaces.