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Commuting Subnormal Operators Quasisimilar to Multiplication by Coordinate Functions on ODD Spheres

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Invariant Subspaces and Other Topics

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 6))

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Abstract

Let S=(S1,...,Sn) be a jointly subnormal n-tuple of pairwise commuting operators on a separable Hilbert space H. Denote by N= (N1, ..., Nn) its commuting normal extension on a Hilbert space K⊃H, i.e.

$$s_{i}f=N_{i}f;\;\;\ f\varepsilon H, i=1,...,n$$

.

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References

  1. Clary, W.S.: Quasisimilarity of subnormal operators, Ph.D. Thesis, Univ. of Michigan, 1974.

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  2. Hörmander, L.: Lp-estimates for (pluri) subharmonic functions, Math.Scand. 20 (1967), 68–78.

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  3. Hastings, W.W.: Commuting subnormal operators simultaneously quasisimilar to unilateral shifts, Illinois J. Math. 22 (1978), 506–519.

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  4. Janas, J.: Lifting of commutant of subnormal operators and spectral inclusion theorem, Bull. Acad. Polon. Sci. 26 (1978), 513–520.

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  5. Janas, J.: Remarks on similarity and quasisimilarity of operators, preprint, 1981.

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  6. Mlak, W.: Commutantss of subnormal operators, Bull. Acad. Polon. Sci. 9 (1971), 837–842.

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  7. Shapiro, H.: Some remarks on weight polynomial approximation of holomorphic functions, Mat. Sb. 73 (1967), 320–330.

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© 1982 Springer Basel AG

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Janas, J. (1982). Commuting Subnormal Operators Quasisimilar to Multiplication by Coordinate Functions on ODD Spheres. In: Apostol, C., Douglas, R.G., Sz.-Nagy, B., Voiculescu, D., Arsene, G. (eds) Invariant Subspaces and Other Topics. Operator Theory: Advances and Applications, vol 6. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5445-0_7

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  • DOI: https://doi.org/10.1007/978-3-0348-5445-0_7

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-5447-4

  • Online ISBN: 978-3-0348-5445-0

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