ENGLISH

Principal Currents for a Pair of Unitary Operators

By Joel D. Pincus , Shaojie Zhou

Book information

Publisher
Amer Mathematical Society
Year
1994
ISBN
0821826093, 9780821826096
Language
english
Format
PDF
Filesize
8 MB (8769813 bytes)
Series
Memoirs of the American Mathematical Society
Pages
103\114
DPI
600
Orientation
yes
Scanned
yes
Time added
2014-09-08 01:17:17

Description

Principal currents were invented to provide a non commutative 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.

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