Centered operators
Bernard Morrel, Paul Muhly (1974)
Studia Mathematica
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Bernard Morrel, Paul Muhly (1974)
Studia Mathematica
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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])
Putnam, C.R. (1981)
International Journal of Mathematics and Mathematical Sciences
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Istratescu, Vasile I. (1986)
International Journal of Mathematics and Mathematical Sciences
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Muneo Chō, Tadasi Huruya, Kôtarô Tanahashi (2005)
Banach Center Publications
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In this paper, we introduce the angular cutting and the generalized polar symbols of a p-hyponormal operator T in the case where U of the polar decomposition T = U|T| is not unitary and study spectral properties of it.
J. Vukman (1987)
Studia Mathematica
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Tisseur, Françoise, Graillat, Stef (2006)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Horn, Roger A., Piazza, Giuseppe, Politi, Tiziano (2009)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Kuzma, Bojan, Li, Chi-Kwong, Rodman, Leiba (2011)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Horn, Roger A., Kittaneh, Fuad (1998)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Molnár, Lajos (2009)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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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. ...
Lavon Page (1982)
Banach Center Publications
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Marek Słociński (1980)
Annales Polonici Mathematici
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