Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques naturelles / sciences mathematiques Vol. CXXXIV, No. 32, pp. 69–84 (2007) 

Frames for Frechet spacesS. Pilipovic, Diana Stoeva and N. TeofanovDepartment of Mathematics and Informatics, Trg D. Obradovica 4, University of Novi Sad, 21000 Novi Sad, SerbiaDepartment of Mathematics, University of Architecture, Civil Engineering and Geodesy, Blvd Christo Smirnenski 1, 1046 Sofia, Bulgaria Abstract: In this paper we study frame representations in projective and inductive limits of Banach spaces. We introduce the notion of a Fréchet preframe for a given Fréchet space with respect to a Fréchet sequence space. Main results of the paper include the use of density arguments and representations in the case of projective limits of isomorphic reflexive Banach spaces. Examples based on modulation spaces, Sobolev type spaces and Köthe type spaces are given. Keywords: Banach frames, Fréshet spaces Classification (MSC2000): 42C15 Full text of the article: (for faster download, first choose a mirror)
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© 2007 Mathematical Institute of the Serbian Academy of Science and Arts
