On (A,m)-expansive operators

Sungeun Jung; Yoenha Kim; Eungil Ko; Ji Eun Lee

Displaying similar documents to “On (A,m)-expansive operators”

On operators close to isometries

Sameer Chavan (2008)

Studia Mathematica

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We introduce and discuss a class of operators, to be referred to as operators close to isometries. The Bergman-type operators, 2-hyperexpansions, expansive p-isometries, and certain alternating hyperexpansions are main examples of such operators. We establish a few decomposition theorems for operators close to isometries. Applications are given to the theory of p-isometries and of hyperexpansive operators.

On differential operators with integral conditions.

Galakhov, E. (1997)

Memoirs on Differential Equations and Mathematical Physics

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Operators on some function spaces

Ryotaro Sato (1976)

Colloquium Mathematicae

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Operators on continuous function spaces and L1-spaces

Ryotaro Sato (1976)

Colloquium Mathematicae

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Backward extensions of hyperexpansive operators

Zenon J. Jabłoński, Il Bong Jung, Jan Stochel (2006)

Studia Mathematica

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The concept of k-step full backward extension for subnormal operators is adapted to the context of completely hyperexpansive operators. The question of existence of k-step full backward extension is solved within this class of operators with the help of an operator version of the Levy-Khinchin formula. Some new phenomena in comparison with subnormal operators are found and related classes of operators are discussed as well.

Generalizations of Kaplansky's Theorem Involving Unbounded Linear Operators

Abdelkader Benali, Mohammed Hichem Mortad (2014)

Bulletin of the Polish Academy of Sciences. Mathematics

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We are mainly concerned with the result of Kaplansky on the composition of two normal operators in the case in which at least one of the operators is unbounded.

Attractive operators and fixed points

Beatriz Margolis (1972)

Annales Polonici Mathematici

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On λ-commuting operators

John B. Conway, Gabriel Prǎjiturǎ (2005)

Studia Mathematica

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For a scalar λ, two operators T and S are said to λ-commute if TS = λST. In this note we explore the pervasiveness of the operators that λ-commute with a compact operator by characterizing the closure and the interior of the set of operators with this property.

M - Paranormal Operators

S.C. Arora, Ramesh Kumar (1981)

Publications de l'Institut Mathématique

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Backward Aluthge iterates of a hyponormal operator and scalar extensions

C. Benhida, E. H. Zerouali (2009)

Studia Mathematica

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Let R and S be two operators on a Hilbert space. We discuss the link between the subscalarity of RS and SR. As an application, we show that backward Aluthge iterates of hyponormal operators and p-quasihyponormal operators are subscalar.