Principal currents for a pair of unitary operators
著者
書誌事項
Principal currents for a pair of unitary operators
（Memoirs of the American Mathematical Society, no. 522）
American Mathematical Society, 1994
大学図書館所蔵 件 / 全17件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
"May 1994, volume 109, number 522 (second of 5 numbers)"--T.p
Includes bibliographical references (p. 100-103)
内容説明・目次
内容説明
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.
目次
Introduction The geometry associated with eigenvalues The dilation space solution of the symbol Riemann Hilbert problem The principal current for the operator-tuple $\{P_1, P_2, W_1, W_2\}$ Estimates The criterion for eigenvalues The $N(\omega)$ operator The characteristic operator function of $T_1$ Localization and the ""cut-down"" property The joint essential spectrum Singular integral representations Toeplitz operators with unimodular symbols $C_{11}$-Contraction operators with $(1,1)$ deficiency indices Appendix A Appendix B Appendix C References.
「Nielsen BookData」 より
