A Study of the Isometric Equivalence Problem on Various Banach Spaces

Identifier

957

Author

Sara B. Andrade

Date

2013

Document Type

Thesis

Degree Name

Master of Science

Major

Mathematical Sciences

Concentration

Mathematics

Committee Chair

James Jamison

Committee Member

Anna Kaminska

Committee Member

Pei-Kee Lin

Abstract

In this thesis we derive necessary and sufficient conditions for the isometric equivalence of classes of operators on various Banach spaces. These spaces include the Hardy spaces, Bloch Space and Spaces of Symmetric Operators. Our approach to the isometric equivalence problem follows the classical trend for the analogous unitary equivalence problem in a Hilbert space setting. We employ the form of the surjective linear isometries supported by these spaces to derive conditions on the defining symbols of an operator to assure isometric equivalence.

Comments

Data is provided by the student.

Library Comment

Dissertation or thesis originally submitted to the local University of Memphis Electronic Theses & dissertation (ETD) Repository.

Recommended Citation

Andrade, Sara B., "A Study of the Isometric Equivalence Problem on Various Banach Spaces" (2013). Electronic Theses and Dissertations. 807.
https://digitalcommons.memphis.edu/etd/807