# Characterization of Bessel sequences.

M. Laura Arias; Gustavo Corach; Miriam Pacheco

Extracta Mathematicae (2007)

- Volume: 22, Issue: 1, page 55-66
- ISSN: 0213-8743

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topArias, 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 -

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