Ideal-triangularizability of upward directed sets of positive operators.
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Kandić, Marko (2011)
Annals of Functional Analysis (AFA) [electronic only]
Karl Kunisch (1985)
Banach Center Publications
Marko Kostić (2013)
Publications de l'Institut Mathématique
Néjib Ben Salem, Walid Nefzi (2013)
Commentationes Mathematicae Universitatis Carolinae
We propose the study of some questions related to the Dunkl-Hermite semigroup. Essentially, we characterize the images of the Dunkl-Hermite-Sobolev space, and , , under the Dunkl-Hermite semigroup. Also, we consider the image of the space of tempered distributions and we give Paley-Wiener type theorems for the transforms given by the Dunkl-Hermite semigroup.
J. Stochel (1982)
Studia Mathematica
T. Yoshimoto (1976)
Wolfgang Arendt, Philippe Bénilan (1992)
Revista Matemática de la Universidad Complutense de Madrid
Frank Neubrander (1989)
Semigroup forum
Igor Kluvánek (1987)
Studia Mathematica
Jürgen Voigt (1984/1985)
Mathematische Zeitschrift
Ryotaro Sato (1975)
Studia Mathematica
Klaus Thomsen (1985)
Studia Mathematica
Heydar Radjavi (1997)
Banach Center Publications
A. Kozek (1974)
Applicationes Mathematicae
Ralph deLaubenfels (2009)
Studia Mathematica
Suppose A is an injective linear operator on a Banach space that generates a uniformly bounded strongly continuous semigroup . It is shown that generates an -regularized semigroup. Several equivalences for generating a strongly continuous semigroup are given. These are used to generate sufficient conditions on the growth of , on subspaces, for generating a strongly continuous semigroup, and to show that the inverse of -d/dx on the closure of its image in L¹([0,∞)) does not generate a strongly...
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