P. Riyas, K. T. Ravindran
Abstract
In this paper we discuss properties of compactness and compact operator on 2-normed space. Also we consider a result which is similar to Riesz Lemma and its applications in 2-normed space. We introduce quotient space from the finite dimensional subspace of a 2-normed space.
OpenAlex reports 2 citations for this work. Citation counts describe recorded attention and do not establish research quality.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
In this paper we discuss properties of compactness and compact operator on 2-normed space. Also we consider a result which is similar to Riesz Lemma and its applications in 2-normed space. We introduce quotient space from the finite dimensional subspace of a 2-normed space.
Key concepts: Normed vector space, Quotient space (topology), Mathematics, Strictly convex space, Space (punctuation), Lemma (botany), Compact space, Pure mathematics