Frame related sequences in tensor product of Hilbert spaces
Hemalatha M
Abstract
We study frames and related sequences in tensor products of separable Hilbert spaces from an algebraic perspective. For sequences \fn\n∈N ⊂ H1 and \gm\m∈N ⊂ H2, we consider the tensor sequence \fn gm\n,m∈N in H1 H2. We characterize the lower semi-frame and Riesz--Fischer properties of tensor sequences in terms of the corresponding properties of the component sequences. These results extend to infinite tensor products. In addition, we study the action of tensor sums of operators on frame-related sequences in tensor product Hilbert spaces.
Create a lesson
Related papers
Symmetric compactifications of the integers and separable quotients of spaces Cp(X)
Zdeněk Silber, Damian Sobota
A Remark on Hörmander Multipliers on Dunkl Hardy Spaces
Jacek Dziubański, Agnieszka Hejna-Łyżwa
Large ideals in B(L1(0,1))
Amir Bahman Nasseri
Surjective Hausdorff Isometries of Hyperspaces of Bounded Closed Convex Sets
Lixin Cheng, Wuyi He, Chulei Liu et al.
Structure properties of Banach spaces of I-null sequences
Michael A. Rincón-Villamizar, Victor S. Ronchim, Carlos Uzcátegui Aylwin
The natural components of an autoregressive time series on Banach space
Phil Howlett, Brendan K Beare