On the decomposition of families of quasinormal operators

• Autorzy: Burdak Z.
• Języki publikacji: EN

Abstrakty

EN

The canonical injective decomposition of a jointly quasinormal family of operators is given. Relations between the decomposition of a quasinormal operator T and the decomposition of a partial isometry in the polar decomposition of T are described. The decomposition of pairs of commuting quasinormal partial isometries and its applications to pairs of commuting quasinormal operators is shown. Examples are given.

Słowa kluczowe

EN

multiple canonical decomposition; quasinormal operators; partial isometry

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2013
• Tom: Vol. 33, no. 3
• Strony: 419--438
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Burdak Z.

• University of Agriculture Department of Applied Mathematics ul. Balicka 253c, 30-198 Krakow, Poland

Bibliografia

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• [5] P.R. Halmos, L.J. Wallen, Powers of partial isometries, J. Math. Mech. 19 (1970), 657–663.
• [6] K. Horak, V. Müller, On the structure of commuting isometries, Commentatores Mathematicae Univ. Carolinae 28 (1987), 165–171.
• [7] A. Lubin, Weighted shifts and commuting normal extentions, J. Aust. Math. Soc. (Ser. A) 27 (1979) 1, 17–26.
• [8] D. Popovici, A Wold-type decomposition for commuting isometric pairs, Proc. Amer. Math. Soc. 132 (2004), 2303–2314.
• [9] M. Slocinski, On the Wold-type decomposition of a pair of commuting isometries, Ann. Polon. Math. 37 (1980), 255–262.
• [10] L. Suciu, Some invariant subspaces for A-contraction and applications, Extracta Mathematicae 21 (2006), 221–247
• [11] H. Wold, A study in the analysis of stationary time series, Uppsala 1938.