Analysis of General Theorems about a Bounded Linear Operator and its Conjugate
linear space, numbers, mathematics, physics, operator, vectors
Applied Mathematics | Mathematics | Physical Sciences and Mathematics | Physics
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?
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