#### 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?

#### Recommended Citation

Watson, M. A.
(1964).
*Analysis of General Theorems about a Bounded Linear Operator and its Conjugate* (Undergraduate honors thesis, University of Redlands).
Retrieved from https://inspire.redlands.edu/cas_honors/903