OPERATOR IDENTITIES AND SPITZER'S FORMULA IN NON-COMMUTATIVE ALGEBRAS

Author

• EILERT. ELSTNER

Author Type

Graduate Student

Date of Award

1971

Document Type

Thesis

Publication Status

Version of Record

Submission Date

October 2026

Abstract

This thesis was motivated by the idea to generalize Spitzer's identity to the non-commutative case. For this purpose the concept of an "operator type'' is introduced, which reveals in an elementary way the relationship between operator identities and functional equations. Baxter and Reynolds operators are studied using this approach. Then a non-commutative Spitzer identity is derived and applied to generalized shift operators. As another application we give non-commutative analogs of some formulas of Euler.

Extent

50 p.

Comments

Thesis (M.S.)--Florida Atlantic University, 1971.|Charles E. Schmidt College of Science|FAU Electronic Theses and Dissertations Collection|Thesis (M.S.)--Florida Atlantic University, 1971.

Recommended Citation

ELSTNER, EILERT., "OPERATOR IDENTITIES AND SPITZER'S FORMULA IN NON-COMMUTATIVE ALGEBRAS" (1971). Electronic Theses and Dissertations 1970 - 1979. 64.
https://digitalcommons.fau.edu/etd_general_2/64

Identifier

FADT13439

Format

pdf