منابع مشابه
Riesz Bases in Subspaces of L 2 (ir + ) Riesz Bases in Subspaces of L 2 (ir + )
In recent investigation 8] concerning the asymptotic behavior of Gram Schmidt or-thonormalization procedure applied to the nonnegative integer shifts of a given function, the problem of determining whether or not such functions form a Riesz system in L 2 (IR +) arose. In this note, we provide a suucient condition to determine whether the nonnegative translates form a Riesz system on L 2 (IR +)....
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It is proved that there exist subspaces of bipartite tensor product spaces that have no orthonormal bases that can be perfectly distinguished by means of LOCC protocols. A corollary of this fact is that there exist quantum channels having sub-optimal classical capacity even when the receiver may communicate classically with a third party that represents the channel’s environment.
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A characterization is obtained for the matrices A with the property that every (some) Jordan basis of every A-invariant subspace can be extended to a Jordan basis of A. These results are based on a criterion for a Jordan basis of an invariant subspace to be extendable to a Jordan basis of the whole space. The criterion involves two concepts: the constancy property and the depth property. "'Supp...
متن کاملExponential Riesz bases of subspaces and divided differences
Linear combinations of exponentials e iλ k t in the case where the distance between some points λ k tends to zero are studied. D. Ull-rich [30] has proved the basis property of the divided differences of exponentials in the case when {λ k } = Λ (n) and the groups Λ (n) consist of equal number of points all of them are close enough to n, n ∈ Z. We have generalized this result for groups with arb...
متن کاملPositive Bases in Ordered Subspaces with the Riesz Decomposition Property
In this article we suppose that E is an ordered Banach space the positive cone of which is defined by a countable familyF={fi|i ∈ N} of positive continuous linear functionals of E, i.e. E+ = {x ∈ E | fi(x) ≥ 0, for each i} and we study the existence of positive (Schauder) bases in the ordered subspaces X of E with the Riesz decomposition property. So we consider the elements x of E as sequences...
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ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 1992
ISSN: 0035-7596
DOI: 10.1216/rmjm/1181072656