2014•Journal of the Egyptian Mathematical SocietyOpen access

Bounded linear operators in quasi-normed linear space

G. Rano, Tarapada Bag

Open full text 2 citations

Abstract

In this paper, we define continuity and boundedness of linear operators in quasi-normed linear space. Quasi-norm linear space of bounded linear operators is deduced. Concept of dual space is developed.

Open-access reader

About this research paper

What this paper is about

In this paper, we define continuity and boundedness of linear operators in quasi-normed linear space. Quasi-norm linear space of bounded linear operators is deduced. Concept of dual space is developed.

Why it matters

OpenAlex reports 2 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

In this paper, we define continuity and boundedness of linear operators in quasi-normed linear space. Quasi-norm linear space of bounded linear operators is deduced. Concept of dual space is developed.

Key concepts: Mathematics, Dual norm, Bounded function, Normed vector space, Bounded operator, Linear operators, Operator norm, Continuous linear operator

Related papers

Back to paper searchBrowse research topicsOriginal source
Bounded linear operators in quasi-normed linear space — Research Paper | ScholarLens