Frames for Fréchet spaces
Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 32 (2007) no. 1
Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
In this paper we study frame representations
in projective and inductive limits of Banach spaces. We introduce
the notion of a Fréchet pre-frame 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 Kothe type
spaces are given.
@article{BASS_2007_32_1_a5,
author = {S. Pilipovi\'c and Diana Stoeva and N. Teofanov},
title = {Frames for {Fr\'echet} spaces},
journal = {Bulletin de l'Acad\'emie serbe des sciences. Classe des sciences math\'ematiques et naturelles},
pages = {69 - 84},
year = {2007},
volume = {32},
number = {1},
url = {http://geodesic.mathdoc.fr/item/BASS_2007_32_1_a5/}
}
TY - JOUR AU - S. Pilipović AU - Diana Stoeva AU - N. Teofanov TI - Frames for Fréchet spaces JO - Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles PY - 2007 SP - 69 EP - 84 VL - 32 IS - 1 UR - http://geodesic.mathdoc.fr/item/BASS_2007_32_1_a5/ ID - BASS_2007_32_1_a5 ER -
S. Pilipović; Diana Stoeva; N. Teofanov. Frames for Fréchet spaces. Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 32 (2007) no. 1. http://geodesic.mathdoc.fr/item/BASS_2007_32_1_a5/