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http://hdl.handle.net/10662/15855
| Title: | Characterization of Bessel sequences |
| Authors: | Arias Ferrer, Laura Corach, Gustavo Pacheco, Miriam |
| Keywords: | Secuencias de Bessel;Marcos;Operadores lineales acotados;Bessel sequences;Frames;Bounded linear operators. |
| Issue Date: | 2007 |
| Publisher: | Universidad de Extremadura, Servicio de Publicaciones |
| 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 ortonormal basis 𝙴 = {eₖ}ₖ𝜖N of ℋ, a bijection 𝛼ᴇ: Bess(ℋ) → L(ℋ) can be defined. The aim of this paper is to characterize 𝛼ᴇˉ¹ E (𝒜) for di®erent classes of operators 𝒜 ⊆ L (ℋ): In particular, we characterize the Bessel sequences associated to injective operators, compact operators and Schatten p-classes. |
| URI: | http://hdl.handle.net/10662/15855 |
| ISSN: | 0213-8743 |
| Appears in Collections: | Extracta Mathematicae Vol. 22, nº 1 (2007) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 2605-5686_22_1_55.pdf | 178,73 kB | Adobe PDF | View/Open |
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