Unitary dilation and fixed point theorem
Marek Ptak (1989)
Annales Polonici Mathematici
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Marek Ptak (1989)
Annales Polonici Mathematici
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Najar, Rudolph M. (1995)
International Journal of Mathematics and Mathematical Sciences
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Julio Becerra Guerrero, Simon Cowell, Ángel Rodríguez Palacios, Geoffrey V. Wood (2004)
Studia Mathematica
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In a Banach algebra an invertible element which has norm one and whose inverse has norm one is called unitary. The algebra is unitary if the closed convex hull of the unitary elements is the closed unit ball. The main examples are the C*-algebras and the ℓ₁ group algebra of a group. In this paper, different characterizations of unitary algebras are obtained in terms of numerical ranges, dentability and holomorphy. In the process some new characterizations of C*-algebras are given. ...
Chafiq Benhida (2004)
Studia Mathematica
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Given two contractions T and T' such that T'-T is an operator of finite rank, we prove, under some conditions, the unitary equivalence of the unitary parts of the minimal isometric dilations (respectively minimal co-isometric extensions) of T and T'.
T. Ando, K. Takahashi (1997)
Annales Polonici Mathematici
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We show a polynomially boundend operator T is similar to a unitary operator if there is a singular unitary operator W and an injection X such that XT = WX. If, in addition, T is of class , then T itself is unitary.
I. Halperin (1963)
Studia Mathematica
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Birgit Speh (1981)
Mathematische Annalen
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A. R. Amir-Moéz, W. A. Donnell, C. R. Perry (1972)
Matematički Vesnik
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William F. Donoghue (1963)
Publications Mathématiques de l'IHÉS
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Putnam, C.R. (1981)
International Journal of Mathematics and Mathematical Sciences
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Marek Ptak (1985)
Annales Polonici Mathematici
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Dragomir Z. Dokovic (1991)
Aequationes mathematicae
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W.B. Gragg, L. Reichel (1990)
Numerische Mathematik
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Marek Kosiek, Alfredo Octavio (1999)
Studia Mathematica
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Let (T1,…,TN) be an N-tuple of commuting contractions on a separable, complex, infinite-dimensional Hilbert space ℋ. We obtain the existence of a commuting N-tuple (V1,…,VN) of contractions on a superspace K of ℋ such that each extends , j=1,…,N, and the N-tuple (V1,…,VN) has a decomposition similar to the Wold-von Neumann decomposition for coisometries (although the need not be coisometries). As an application, we obtain a new proof of a result of Słociński (see [9])
Oliver H. King (1983)
Mathematische Zeitschrift
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