caa a22 4500 477094953 CHVBK 20180405111524.0 cr unu---uuuuu 170330e19960801xx s 000 0 eng 10.1007/BF03322181 doi (NATIONALLICENCE)springer-10.1007/BF03322181 Fractional Covers for Convolution Products [Elektronische Daten] [K. Harrison, J. Ward] A non-zero vector-valued sequence u ∈ ℓq(X′) is a cover for a subset M of ℓP(X) if, for some 0 < α ≤ 1, ∥u * h∥ ∞ ≥ α ∥u∥q ∥h∥p for all h ∈ M. Covers of ℓ1 = ℓ1(R) are important in worst case system identification in ℓ1 and in the reconstruction of elements in a normed space from corrupted functional values. We investigate the existence of covers for certain naturally occurring subspaces of ℓp(X). We show that there exist finitely supported covers for some subspaces, and obtain lower bounds for their 'lengths'. We also obtain similar results for covers associated with convolution products for spaces of measurable vector-valued functions defined on the positive real axis. Birkhäuser Verlag, Basel, 1996 Convolution cover nationallicence fractional cover nationallicence exact cover nationallicence finitely supported cover nationallicence minimal length cover nationallicence generalised Galois sequence nationallicence polygonal space nationallicence Harrison K. School of Mathematical and Physical Sciences, Murdoch University, 6150, Murdoch, WA, Australia aut Ward J. School of Mathematical and Physical Sciences, Murdoch University, 6150, Murdoch, WA, Australia aut Results in Mathematics Birkhäuser-Verlag 30/1-2(1996-08-01), 67-78 0378-6218 30:1-2<67 1996 30 25 https://doi.org/10.1007/BF03322181 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF03322181 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Harrison K. School of Mathematical and Physical Sciences, Murdoch University, 6150, Murdoch, WA, Australia aut NATIONALLICENCE 700 1- Ward J. School of Mathematical and Physical Sciences, Murdoch University, 6150, Murdoch, WA, Australia aut NATIONALLICENCE 773 0- Results in Mathematics Birkhäuser-Verlag 30/1-2(1996-08-01), 67-78 0378-6218 30:1-2<67 1996 30 25 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer