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Download Principal Currents for a Pair of Unitary Operators (Memoirs of the American Mathematical Society) epub

by Shaojie Zhou,Joel D. Pincus




Principal currents were invented to provide a noncommutative spectral theory in which there is still significant localization. These currents are often integral and are associated with a vector field and an integer-valued weight which plays the role of a multi-operator index. The study of principal currents involves scattering theory, new geometry associated with operator algebras, defect spaces associated with Wiener-Hopf and other integral operators, and the dilation theory of contraction operators. This monograph explores the metric geometry of such currents for a pair of unitary operators and certain associated contraction operators. Applications to Toeplitz, singular integral, and differential operators are included.
Download Principal Currents for a Pair of Unitary Operators (Memoirs of the American Mathematical Society) epub
ISBN: 0821826093
ISBN13: 978-0821826096
Category: Other
Subcategory: Science & Mathematics
Author: Shaojie Zhou,Joel D. Pincus
Language: English
Publisher: Amer Mathematical Society (May 1, 1994)
Pages: 103 pages
ePUB size: 1798 kb
FB2 size: 1307 kb
Rating: 4.6
Votes: 780
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