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Power-bounded elements and radical Banach algebras

Graham Allan (1997)

Banach Center Publications

Firstly, we give extensions of results of Gelfand, Esterle and Katznelson--Tzafriri on power-bounded operators. Secondly, some results and questions relating to power-bounded elements in the unitization of a commutative radical Banach algebra are discussed.

Premiers pas en calcul étranger

B. Candelpergher, Jean-Claude Nosmas, Frédéric Pham (1993)

Annales de l'institut Fourier

Cet exposé est une introduction au calcul étranger d’Écalle, c’est-à-dire au calcul des obstructions à la sommabilité de Borel d’une grande classe de séries formelles, les fonctions résurgentes d’Écalle. La théorie d’Écalle éclaire d’un jour neuf le célèbre phénomène de Stokes qui est illustré ici dans le contexte de la méthode du col.

Problems and Theorems in the Theory of Multiplier Sequences

Craven, Thomas, Csordas, George (1996)

Serdica Mathematical Journal

The purpose of this paper is (1) to highlight some recent and heretofore unpublished results in the theory of multiplier sequences and (2) to survey some open problems in this area of research. For the sake of clarity of exposition, we have grouped the problems in three subsections, although several of the problems are interrelated. For the reader’s convenience, we have included the pertinent definitions, cited references and related results, and in several instances, elucidated the problems by...

Problems Concerning Subclasses of Analytic Functions

Maslina Darus, Imran Faisal (2012)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

In the present paper, we establish some interesting results concerning the quasi-Hadamard product for certain subclasses of analytic functions.

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