TY - BOOK AU - Pincus,Joel D. AU - Zhou,Shaojie TI - Principal currents for a pair of unitary operators T2 - Memoirs of the American Mathematical Society, SN - 9781470400996 (online) AV - QA3QA329.2 .A57 no. 522 U1 - 510 s515/.7246 20 PY - 1994/// CY - Providence, R.I. PB - American Mathematical Society KW - Subnormal operators KW - Geometric measure theory KW - C*-algebras KW - Decomposition (Mathematics) N1 - "May 1994, volume 109, number 522 (second of 5 numbers)"; Includes bibliographical references (p. 100103); 0. Introduction; 1. The geometry associated with eigenvalues; 2. The dilation space solution of the symbol Riemann Hilbert problem; 3. The principal current for the operator-tuple $\{P_1, P_2, W_1, W_2\}$; 4. Estimates; 5. The criterion for eigenvalues; 6. The $N(\omega )$ operator; 7. The characteristic operator function of $T_1$; 8. Localization and the "cut-down" property; 9. The joint essential spectrum; 10. Singular integral representations; 11. Toeplitz operators with unimodular symbols; 12. $C_$-contraction operators with (1,1) deficiency indices; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012 UR - http://www.ams.org/memo/0522 UR - http://dx.doi.org/10.1090/memo/0522 ER -