Jump to ContentJump to Main Navigation
Feynman's Operational Calculus and BeyondNoncommutativity and Time-Ordering$
Users without a subscription are not able to see the full content.

Gerald W Johnson, Michel L. Lapidus, and Lance Nielsen

Print publication date: 2015

Print ISBN-13: 9780198702498

Published to Oxford Scholarship Online: September 2015

DOI: 10.1093/acprof:oso/9780198702498.001.0001

Show Summary Details
Page of

PRINTED FROM OXFORD SCHOLARSHIP ONLINE (www.oxfordscholarship.com). (c) Copyright Oxford University Press, 2019. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in OSO for personal use. date: 05 December 2019

Disentangling via Tensor Products and Ordered Supports

Disentangling via Tensor Products and Ordered Supports

Chapter:
(p.63) 3 Disentangling via Tensor Products and Ordered Supports
Source:
Feynman's Operational Calculus and Beyond
Author(s):

Gerald W. Johnson

Michel L. Lapidus

Lance Nielsen

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198702498.003.0003

More involved types of disentanglings are considered in this chapter. We discuss the situation where the Banach space X can be written as a direct sum X=Y⊕Z, for some Banach spaces Y and Z, and each of the operators Ai can be decomposed as Ai=Bi⊕Ci, for i=1,…,n. A second type of disentangling discussed is that of a function which is symmetric in several of its variables. Next, consideration is given to the disentangling of certain analytic (i.e. holomorphic) functions which can be written as tensor products of analytic functions of one variable. Also discussed is the effect on the disentangling process of the use of time-ordering measures with ordered supports. The results obtained in this part of Chapter 3 play a role throughout the remainder of the book. Finally, the disentangling of so-called exponential factors is addressed; we track the occurrence of a particular operator in the time-ordered products that constitute the disentangling.

Keywords:   disentangling, ordered support, tensor product, exponential factor

Oxford Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us .