2017
Том 69
№ 9

All Issues

Spectral representation for generalized operator-valued Toeplitz kernels

Chernobai O. B.

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Abstract

We prove an integral representation for operator-valued Toeplitz kernels. The proof is based on the spectral theory of the corresponding differential operator constructed from this kernel and acting in a Hilbert space.

English version (Springer): Ukrainian Mathematical Journal 57 (2005), no. 12, pp 1995-2010.

Citation Example: Chernobai O. B. Spectral representation for generalized operator-valued Toeplitz kernels // Ukr. Mat. Zh. - 2005. - 57, № 12. - pp. 1698–1710.

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