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

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Date Issued:
1971
Summary:
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.
Title: OPERATOR IDENTITIES AND SPITZER'S FORMULA IN NON-COMMUTATIVE ALGEBRAS.
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Name(s): ELSTNER, EILERT.
Florida Atlantic University, Degree grantor
Type of Resource: text
Genre: Electronic Thesis Or Dissertation
Issuance: monographic
Date Issued: 1971
Publisher: Florida Atlantic University
Place of Publication: Boca Raton, Fla.
Physical Form: application/pdf
Extent: 50 p.
Language(s): English
Summary: 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.
Identifier: 13439 (digitool), FADT13439 (IID), fau:10288 (fedora)
Collection: FAU Electronic Theses and Dissertations Collection
Note(s): Thesis (M.S.)--Florida Atlantic University, 1971.
Charles E. Schmidt College of Science
Subject(s): Commutative algebra
Held by: Florida Atlantic University Libraries
Persistent Link to This Record: http://purl.flvc.org/fcla/dt/13439
Sublocation: Digital Library
Use and Reproduction: Copyright © is held by the author with permission granted to Florida Atlantic University to digitize, archive and distribute this item for non-profit research and educational purposes. Any reuse of this item in excess of fair use or other copyright exemptions requires permission of the copyright holder.
Use and Reproduction: http://rightsstatements.org/vocab/InC/1.0/
Host Institution: FAU
Is Part of Series: Florida Atlantic University Digital Library Collections.