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Some results on Berezin symbols. (English) Zbl 1202.47031

The Berezin symbols are used in the description of Schatten–von Neumann classes \(\sigma_p\), \(0<p<\infty\), in the proof of a unicity theorem of N.Nikolski [Ann.Inst.Fourier 45, No.1, 143–159 (1995; Zbl 0816.30026)], and in the approximation problem for inner functions.

MSC:

47B35 Toeplitz operators, Hankel operators, Wiener-Hopf operators
47B32 Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces)
47B10 Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.)

Citations:

Zbl 0816.30026
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