Dilation to inflations of s(φ)

References

• Arveson , W. 1972 . Subalgebras of C∗-algebras II . Acta Math. , 128 : 271 – 308 .
   Google Scholar
• Bercovici , H. Operator theory and arithmetic in H∞ . Amer. Math. Soc., Providence. ,
   Google Scholar
• Gau , H.-L. and Wu , P. Y. 1998 . Numerical range of S(φ) . Linear and Multilinear Algebra , 45 : 49 – 73 .
   Google Scholar
• Haagerup , U. and de la Harpe , P. 1992 . The numerical radius of a nilpotent operator on a Hilbert space . Proc. Amer. Math. Soc , 115 : 371 – 379 .
   Web of Science ®Google Scholar
• Halmos , P. R. 1982 . A Hilbert space problem book , New York : Springer-Verlag .
   Google Scholar
• Horn , R. A. and Johnson , C. R. 1991 . Topics in matrix analysis , Cambridge : Cambridge Univ. Press .
   Google Scholar
• Mirman , B. A. 1968 . Numerical range and norm of a linear operator . Voronez. Trudy Seminar a po Funkcional'nomu Analizu , 10 : 51 – 55 .
   Google Scholar
• Nakazi , T. and Takahashi , K. 1995 . Two-dimensional representations of uniform algebras . Proc. Amer. Math. Soc. , 123 : 2777 – 2784 .
   Web of Science ®Google Scholar
• Tso , S.-H. and Wu , P. Y. 1995 . Matricial ranges of quadratic operators . Rocky Mountain J. Math. , 123 to appear
   Google Scholar
• Williams , J. P. and Crimmins , T. 1967 . On the numerical radius of a linear . Amer. Math. Monthly , 74 : 832 – 833 .
   Web of Science ®Google Scholar
• Wu , P. Y. 1997 . Unitary dilations and numerical ranges . J. Operator Theory , 38 : 25 – 42 .
   Google Scholar