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- W4251370791 abstract "This chapter deals with contractive completions of partial operator matrices. Since the norm of a submatrix is always less or equal to the norm of the matrix itself, every partial matrix which admits a contractive completion has to be partially contractive (or a partial contraction), that is, all its fully specified submatrices are contractions. The discussions cover contractive operator-matrix completions; linearly constrained completion problems; the operator-valued Nehari and Carathéodory problems; Nehari's problem in two variables; Nehari and Carathéodory problems for functions on compact groups; the Nevanlinna–Pick problem; the operator Corona problem; joint operator/Hilbert–Schmidt norm control extensions; an L1 extension problem for polynomials; superoptimal completions and approximations of analytic functions; and model matching. Exercises and notes are provided at the end of the chapter." @default.
- W4251370791 created "2022-05-12" @default.
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- W4251370791 date "2011-08-07" @default.
- W4251370791 modified "2023-09-26" @default.
- W4251370791 title "Contractive analogs" @default.
- W4251370791 doi "https://doi.org/10.23943/princeton/9780691128894.003.0004" @default.
- W4251370791 hasPublicationYear "2011" @default.
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