Title

Analysis of General Theorems about a Bounded Linear Operator and its Conjugate

Publication Year

1964

Keywords

linear space, numbers, mathematics, physics, operator, vectors

Disciplines

Applied Mathematics | Mathematics | Physical Sciences and Mathematics | Physics

Abstract

This paper is concerned with demonstrating the relationship of an operator A on a normed linear space and its conjugate A with respect to the following two questions:

(1) Under what conditions does A have an inverse?

(2) How many vectors y in the space X are of the form Ax?

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