Characterization of Bessel sequences.

Arias, M. Laura, Corach, Gustavo, and Pacheco, Miriam. "Characterization of Bessel sequences.." Extracta Mathematicae 22.1 (2007): 55-66. <http://eudml.org/doc/41871>.

@article{Arias2007,
abstract = {Let H be a separable Hilbert space, L(H) be the algebra of all bounded linear operators of H and Bess(H) be the set of all Bessel sequences of H. Fixed an orthonormal basis E = \{ek\}k∈N of H, a bijection αE: Bess(H) → L(H) can be defined. The aim of this paper is to characterize α-1E (A) for different classes of operators A ⊆ L(H). In particular, we characterize the Bessel sequences associated to injective operators, compact operators and Schatten p-classes.},
author = {Arias, M. Laura, Corach, Gustavo, Pacheco, Miriam},
journal = {Extracta Mathematicae},
keywords = {Bessel sequences; frames; bounded linear operators},
language = {eng},
number = {1},
pages = {55-66},
title = {Characterization of Bessel sequences.},
url = {http://eudml.org/doc/41871},
volume = {22},
year = {2007},
}

TY - JOUR
AU - Arias, M. Laura
AU - Corach, Gustavo
AU - Pacheco, Miriam
TI - Characterization of Bessel sequences.
JO - Extracta Mathematicae
PY - 2007
VL - 22
IS - 1
SP - 55
EP - 66
AB - Let H be a separable Hilbert space, L(H) be the algebra of all bounded linear operators of H and Bess(H) be the set of all Bessel sequences of H. Fixed an orthonormal basis E = {ek}k∈N of H, a bijection αE: Bess(H) → L(H) can be defined. The aim of this paper is to characterize α-1E (A) for different classes of operators A ⊆ L(H). In particular, we characterize the Bessel sequences associated to injective operators, compact operators and Schatten p-classes.
LA - eng
KW - Bessel sequences; frames; bounded linear operators
UR - http://eudml.org/doc/41871
ER -