Results 101 to 110 of about 138 (121)

Schatten-Von Neumann Classes of Tensors of Invariant Operators

open access: yesJournal of Pseudo-Differential Operators and Applications
Abstract In this work we study Schatten-von Neumann classes of tensor products of invariant operators on Hilbert spaces. In the first part we first deduce some spectral properties for tensors of anharmonic oscillators thanks to the knowledge on corresponding Schatten-von Neumann properties.
Julio Delgado, Michael Ruzhansky
exaly   +4 more sources

On Schatten–von Neumann Classes and Trace Class Estimates

2016
In this chapter we elaborate on Hilbert–Schmidt and trace class integral operators, the noncommutative Holder inequality for Schatten–von Neumann ideals, and particularly, trace ideal estimates for operators consisting of various products of operators of multiplication and resolvents of the Laplacian in \(L^{2}(\mathbb{R}^{n})\).
Fritz Gesztesy, Marcus Waurick
openaire   +1 more source

Schatten–von Neumann Classes

2002
We consider special classes of compact operators in this chapter known as Schatten–von Neumann classes \(S_p, 1 \leq p < \infty\). The most distinguished class is S2, which is made up of Hilbert–Schmidt operators.
openaire   +1 more source

Hankel Operators and Schatten—von Neumann Classes

2003
In this chapter we study Hankel operators that belong to the Schattenvon Neumann class S p , 0 < p < ∞. The main result of the chapter says that Hφ ∈ S p if and only if the function P‒φ, belongs to the Besov class B p 1/p (see Appendix 2.6). We prove this result in §1 for p =1. We give two different approaches.
openaire   +1 more source

Vectorial Hankel operators, commutators and related operators of the Schatten-von Neumann class .

Integral Equations and Operator Theory, 1982
The Hankel operators of the class on the spaces of vector-valued functions are characterized in terms of their symbols. Different applications are considered. It is proved that the averaging projection onto the block-Hankel matrices is bounded on for 1 < p < + ∞ .
openaire   +1 more source

Characterization and Some Properties of Von Neumann-Schatten p-Bessel Sequences

Bulletin of the Belgian Mathematical Society - Simon Stevin, 2022
Morteza Mirzaee Azandaryani
exaly  

Duals and Approximate Duals of Von Neumann–Schatten p-Frames

Georgian Mathematical Journal, 2022
Morteza Mirzaee Azandaryani
exaly  

Von Neumann–Schatten Frames in Separable Banach Spaces

Mediterranean Journal of Mathematics, 2012
Ghadir Sadeghi
exaly  

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