Results 41 to 50 of about 544 (53)

On the weak limit of compact operators on the reproducing kernel Hilbert space and related questions

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
By applying the so-called Berezin symbols method we prove a Gohberg- Krein type theorem on the weak limit of compact operators on the non- standard reproducing kernel Hilbert space which essentially improves the similar results of Karaev [5]: We also in ...
Saltan Suna
doaj   +1 more source

Spectral characterization of sums of commutators II

, 1997
For countably generated ideals, $\Jc$, of $B(\Hil)$, geometric stability is necessary for the canonical spectral characterization of sums of $(\Jc,B(\Hil))$--commutators to hold. This answers a question raised by Dykema, Figiel, Weiss and Wodzicki. There
Dykema, Kenneth J., Kalton, Nigel J.
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On Quasi-Normality of Two-Sided Multiplication [PDF]

, 2009
2000 Mathematics Subject Classification: 47B47, 47B10, 47A30.In this note, we characterize quasi-normality of two-sided multiplication, restricted to a norm ideal and we extend this result, to an important class which contains all quasi-normal operators.
Amouch, M.
core  

$L^p$-boundedness and $L^p$-nuclearity of multilinear pseudo-differential operators on $\mathbb{Z}^n$ and the torus $\mathbb{T}^n$

, 2019
In this article, we begin a systematic study of the boundedness and the nuclearity properties of multilinear periodic pseudo-differential operators and multilinear discrete pseudo-differential operators on $L^p$-spaces. First, we prove analogues of known
Cardona, Duván, Kumar, Vishvesh
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(q, p)-Mixing Bloch maps

Demonstratio Mathematica
As a Bloch variant of (q,p)\left(q,p)-mixing linear operators, we introduce the notion of (q,p)\left(q,p)-mixing Bloch maps. We prove Pietsch’s domination theorem and Maurey’s splitting theorem in this Bloch context, following the corresponding results ...
Jiménez-Vargas Antonio, Ruiz-Casternado David   +1 more
doaj   +1 more source

Non positively curved metric in the space of positive definite infinite matrices [PDF]

, 2007
We introduce a Riemannian metric with non positive curvature in the (infinite dimensional) manifold Σ∞ of positive invertible operators of a Hilbert space H, which are scalar perturbations of Hilbert-Schmidt operators.
Andruchow, Esteban, Varela, Alejandro
core  

Taylor approximations of operator functions

, 2013
This survey on approximations of perturbed operator functions addresses recent advances and some of the successful methods.Comment: 12 ...
A Skripka, A Skripka, A Skripka, A Skripka, AB Aleksandrov, AH Chamseddine, AV Rybkin, D Potapov, D Potapov, D Potapov, D Potapov, D Potapov, DR Yafaev, E Kissin, F Gesztesy, H Neidhardt, J-M Bouclet, K Dykema, K Dykema, MG Krein, MG Krein, MS Birman, MS Birman, NA Azamov, NA Azamov, NA Azamov, RW Carey, S Lord, VM Adamjan, VV Peller, WD Suijlekom van, YB Farforovskaya, YB Farforovskaya, YB Farforovskaya, YL Daleckii   +34 more
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The diameter of the Birkhoff polytope

Special Matrices
The geometry of the compact convex set of all n×nn\times n doubly stochastic matrices, a structure frequently referred to as the Birkhoff polytope, has been an active subject of research as of late.
Bouthat Ludovick, Mashreghi Javad, Morneau-Guérin Frédéric   +2 more
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Generalized Derivations and Norm Equality in Normed Ideals [PDF]

, 2011
2000 Mathematics Subject Classification: 47A10, 47A12, 47A30, 47B10, 47B20, 47B37, 47B47, 47D50.We compare the norm of a generalized derivation on a Hilbert space with the norm of its restrictions to Schatten norm ...
Barraa, Mohamed
core  

The weighted composition operators on the large weighted Bergman spaces

, 2018
In this paper, we characterize bounded, compact or Schatten class weighted composition operators acting on Bergman spaces with the exponential type weights. Moreover, we give the proof of the necessary part for the boundedness of composition operators on
Park, Inyoung
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