Model theory for ρ-contractions, ρ ≤ 2

Journal of Operator Theory

Volumn 41, Issue 2, 1996, Pages 321-350

  Dritschel, Michael A ^a   Mccullough, Scott ^b   Woerdeman, Hugo J ^c  

^a PURDUE UNIVERSITY   (United States)

^b UNIVERSITY OF FLORIDA   (United States)

^c Dept of Economics and Thomas Jefferson Program in Public Policy at the College of William and Mary   (United States)

Author keywords

Complete positivity; Convexity; Extension; Extremal; Factorization; Model theory; Numerical radius; Operator valuated analytic function; Schur complement; contractions

Indexed keywords

EID: 0000780663     PISSN: 03794024     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (15)

1. J. AGLER, The Arveson extension theorem and coanalytic models, Integral Equations Operator Theory 5(1982), 608-631.
2. J. AGLER, An abstract approach to model theory, in Surveys of Some Recent Results in Operator Theory, vol. II, Pitman Res. Notes Math. Ser., vol. 192, John Wiley and Sons, New York 1988, pp. 1-23.
3. T. ANDÔ, Structure of operators with numerical radius one, Acta Sci. Math. (Szeged) 34(1973), 11-15.
4. T. ANDÔ, Generalized Schur complements, Linear Algebra Appl. 27(1979), 173-186.
5. T. ANDÔ, K. NISHIO, Convexity properties of operator radii associated with unitary ρ-dilations, Michigan Math. J. 20(1973), 303-307.
6. ρ, Manuscripta Math. 16(1975), 385-394.
7. W.B. ARVESON, Subalgebras of C*-algebras, Acta Math. 123(1969), 141-224.
8. M. A. DRITSCHEL, E.G.F. THOMAS, Unitaries belong to the Agler boundary, unpublished manuscript 1993.
9. M.A. DRITSCHEL, H.J. WOERDEMAN, Model theory and linear extreme points in the numerical radius unit ball, Mem. Amer. Math. Soc. 129(1997), viii+62 pp.
10. ρ classes, Acta Sci. Math. (Szeged) 37(1975), 195-199.
11. T. HARA, The structure of the core of a numerical contraction, Integral Equations Operator Theory 23(1995), 179-204.
12. J. A.R. HOLBROOK, On the power-bounded operators of Sz.-Nagy and C. Foiaş, Acta Sci. Math. (Szeged) 29(1968), 299-310.
13. V. PAULSEN, Completely Bounded Maps and Dilations. Pitman Res. Notes Math. Ser., vol. 146, John Wiley and Sons, New York 1986.
14. M. ROSENBLUM, J. ROVNYAK, Hardy Classes and Operator Theory, Oxford Math. Monogr., Oxford University Press, Oxford 1985.
15. B. Sz.-NAGY, C. FOIAŞ, Harmonic Analysis of Operators on Hilbert Space, North Holland, Amsterdam 1970.