Numerical ranges and dilations

Linear and Multilinear Algebra

Volumn 47, Issue 1, 2000, Pages 35-48

  Choi, Man Duen ^a   Li, Chi Kwong ^b  

^a UNIVERSITY OF TORONTO   (Canada)

^b Asian and Middle Eastern Studies Program   (United States)

Author keywords

Dilation; Hilbert space; Numerical range; Operator

Indexed keywords

EID: 0010746742     PISSN: 03081087     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (11)

1. Ando, T. (1973). Structure of operators with numerical radius one, Acta Sci. Math. (Szeged), 34, 11-15.
2. Arveson, W. B. (1972). Subalgebras of C*-algebras II, Acta Math., 123, 271-308.
3. Davis, C. (1958) Separation of two linear subspaces, Acta Sci. Math. (Szeged), 19, 172-187.
4. Donoghue, W. F. Jr. (1957). On the numerical range of a bounded operator, Michigan J. Math., 4, 261-263.
5. Furuta, T. and Nakamota, R. (1971). On the numerical range of an operator, Proc. Japan Acad., 47, 279-284.
6. Halmos, P. A. (1969). Two subspaces, Trans. of Amer. Math. Soc., 144, 381-389.
7. Halmos, P. A. (1982). A Hilbert Space Problem Book, 2nd edn., Springer-Verlag, New York.
8. Horn, R. A. and Johnson, C. R. (1991). Topics in Matrix Analysis, Cambridge University Press, New York.
9. Mirman, B. A. (1968). Numerical range and norm of a linear operator, Voronež. Gos. Univ. Trudy Sem. Funkcional Anal., 10, 51-55.
10. Nakamura, Y. (1982). Numerical range and norm, Math. Japonica, 27, 149-150.
11. Wintner, A. (1929). Spectral theorie der unendlichen Matrizen: Einführung in den analytischen Apparat der Quantenmechanik, S. Hirzel, Leipzig, pp. 34-37.