Density theorems for sampling and interpolation in the Bargmann-Fock space II.
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Kristian Seip, Robert Wallstén (1992)
Journal für die reine und angewandte Mathematik
Kristian Seip (1992)
Journal für die reine und angewandte Mathematik
Kristian Seip, Svein Brekke (1993)
Mathematica Scandinavica
Jean Saint-Raymond (1973/1974)
Séminaire Choquet. Initiation à l'analyse
Heinz Bauer, G. Leha, S. Papadopoulou (1979)
Mathematische Zeitschrift
J. C. Navarro-Pascual, M. G. Sanchez-Lirola (2009)
Studia Mathematica
We study the extremal structure of Banach spaces of continuous functions with the diameter norm.
Dai, Jineng, Ouyang, Caiheng (2009)
Journal of Inequalities and Applications [electronic only]
Vodop'yanov, S.K. (2007)
Sibirskij Matematicheskij Zhurnal
Liang Zhang, Hui-Qiang Lu, Xiao-Mei Fu, Ze-Hua Zhou (2017)
Czechoslovak Mathematical Journal
Let be a locally compact group and let Recently, Chen et al. characterized hypercyclic, supercyclic and chaotic weighted translations on locally compact groups and their homogeneous spaces. There has been an increasing interest in studying the disjoint hypercyclicity acting on various spaces of holomorphic functions. In this note, we will study disjoint hypercyclic and disjoint supercyclic powers of weighted translation operators on the Lebesgue space in terms of the weights. Sufficient and...
Mario C. Matos (1971)
Mathematische Annalen
Keiko Narita, Noboru Endou, Yasunari Shidama (2014)
Formalized Mathematics
In this article, we deal with dual spaces and the Hahn-Banach Theorem. At the first, we defined dual spaces of real linear spaces and proved related basic properties. Next, we defined dual spaces of real normed spaces. We formed the definitions based on dual spaces of real linear spaces. In addition, we proved properties of the norm about elements of dual spaces. For the proof we referred to descriptions in the article [21]. Finally, applying theorems of the second section, we proved the Hahn-Banach...
Lindström, Mikael, Palmberg, Niklas (2007)
Annales Academiae Scientiarum Fennicae. Mathematica
Salvador Pérez-Esteva (1996)
Studia Mathematica
We study the duals of the spaces of harmonic functions in the unit ball of with values in a Banach space X, belonging to the Bochner space with weight , denoted by . For 0 < α < p-1 we construct continuous projections onto providing a decomposition . We discuss the conditions on p, α and X for which and , 1/p+1/q = 1. The last equality is equivalent to the Radon-Nikodým property of X*.
Sung Sa Hong, Louis D. Nel (1979)
Mathematische Zeitschrift
Marian Nowak, Aleksandra Rzepka (2005)
Commentationes Mathematicae Universitatis Carolinae
Let be a completely regular Hausdorff space, a real normed space, and let be the space of all bounded continuous -valued functions on . We develop the general duality theory of the space endowed with locally solid topologies; in particular with the strict topologies for . As an application, we consider criteria for relative weak-star compactness in the spaces of vector measures for . It is shown that if a subset of is relatively -compact, then the set is still relatively -compact...
Abuzyarova, N.F., Yulmukhametov, R.S. (2001)
Sibirskij Matematicheskij Zhurnal
Jesús M. Fernández Castillo, Fernando Sánchez (1993)
Revista Matemática de la Universidad Complutense de Madrid
María J. Beltrán (2014)
Studia Mathematica
We investigate the dynamical behavior of the operators of differentiation and integration and the Hardy operator on weighted Banach spaces of entire functions defined by integral norms. In particular we analyze when they are hypercyclic, chaotic, power bounded, and (uniformly) mean ergodic. Moreover, we estimate the norms of the operators and study their spectra. Special emphasis is put on exponential weights.
Liang Zhang, Ze-Hua Zhou (2015)
Open Mathematics
The chaos of the differentiation operator on generalized weighted Bergman spaces of entire functions has been characterized recently by Bonet and Bonilla in [CAOT 2013], when the differentiation operator is continuous. Motivated by those, we investigate conditions to ensure that finite many powers of differentiation operators are disjoint hypercyclic on generalized weighted Bergman spaces of entire functions.
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