Add to ORKGLet 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 = {eₖ}ₖN of ℋ, a bijection ᴇ: Bess(ℋ) → L(ℋ) can be defined. The aim of this paper is to characterize ᴇˉ¹ E () for di®erent classes of operators ⊆ L (ℋ): In particular, we characterize the Bessel sequences associated to injective operators, compact operators and Schatten p-classes.peerReviewe
AbstractA class of pseudo-differential operators (p.d.o.), generalizing Bessel differential operator...
The notions of Bessel sequence, Riesz-Fischer sequence and Riesz basis are generalized to a rigged H...
International audienceBy means of the Bessel operator a polynomial sequence is constructed to which ...
Abstract: Let H be a separable Hilbert space, L(H) be the algebra of all bounded linear operators of...
Let H be a separable Hilbert space, L(H) be the algebra of all bounded linear operators of H and Bes...
In this paper, we introduce ultra Bessel sequences of subspaces in Hilbert spaces and we establish s...
Riesz-like bases for a triplet of Hilbert spaces are investigated, in connection with an analogous s...
In this work we will investigate how to find a matrix rep-resentation of operators on a Hilbert spac...
<p>In this paper we study the duality of Bessel and $g$-Bessel sequences in Hilbert spaces. We s...
Let X be a countable fundamental set in a Hilbert space H, and let T be the operator T : ` 2 (X) ! ...
Using a bijection between the set BH of all Bessel sequences in a (separable) Hilbert space H and th...
This note is a survey and collection of results, as well as presenting some original research. For B...
The subject of the talk is motivated by questions related to the new field of Dynamical Sampling whi...
AbstractGeneral methods of nuclear Fréchet spaces in conjunction with the theory of Köthe sequence s...
Abstract. Let A be a bounded linear operator acting on a Hilbert space H. The B-Weyl spectrum of A i...
AbstractA class of pseudo-differential operators (p.d.o.), generalizing Bessel differential operator...
The notions of Bessel sequence, Riesz-Fischer sequence and Riesz basis are generalized to a rigged H...
International audienceBy means of the Bessel operator a polynomial sequence is constructed to which ...
Abstract: Let H be a separable Hilbert space, L(H) be the algebra of all bounded linear operators of...
Let H be a separable Hilbert space, L(H) be the algebra of all bounded linear operators of H and Bes...
In this paper, we introduce ultra Bessel sequences of subspaces in Hilbert spaces and we establish s...
Riesz-like bases for a triplet of Hilbert spaces are investigated, in connection with an analogous s...
In this work we will investigate how to find a matrix rep-resentation of operators on a Hilbert spac...
<p>In this paper we study the duality of Bessel and $g$-Bessel sequences in Hilbert spaces. We s...
Let X be a countable fundamental set in a Hilbert space H, and let T be the operator T : ` 2 (X) ! ...
Using a bijection between the set BH of all Bessel sequences in a (separable) Hilbert space H and th...
This note is a survey and collection of results, as well as presenting some original research. For B...
The subject of the talk is motivated by questions related to the new field of Dynamical Sampling whi...
AbstractGeneral methods of nuclear Fréchet spaces in conjunction with the theory of Köthe sequence s...
Abstract. Let A be a bounded linear operator acting on a Hilbert space H. The B-Weyl spectrum of A i...
AbstractA class of pseudo-differential operators (p.d.o.), generalizing Bessel differential operator...
The notions of Bessel sequence, Riesz-Fischer sequence and Riesz basis are generalized to a rigged H...
International audienceBy means of the Bessel operator a polynomial sequence is constructed to which ...