Results 51 to 60 of about 601 (93)
Spectrum perturbations of compact operators in a Banach space
Open Mathematics, 2019 For an integer p ≥ 1, let Γp be an approximative quasi-normed ideal of compact operators in a Banach space with a quasi-norm NΓp(.) and the ...
Gil’ Michael
doaj +1 more source
Inequalities for eigenvalues of compactly perturbed unitary operators
, 2017 We consider the operator A = U +K , where U is a unitary operator and K is a compact one. An eigenvalue λ of A is said to be a non-unitary one, if |λ | = 1 . We derive inequalities for sums of absolute values of the non-unitary eigenvalues.
M. Gil'
semanticscholar +1 more source
A simple characterization of the trace‐class of operators
International Journal of Mathematics and Mathematical Sciences, Volume 4, Issue 2, Page 411-412, 1981., 1981 The trace‐class (τc) of operators on a Hilbert space is characterized in terms of existence of certain centralizers.
Parfeny P. Saworotnow
wiley +1 more source
Some Hermite-Hadamard type integral inequalities for operator AG-preinvex functions
Acta Universitatis Sapientiae: Mathematica, 2016 In this paper, we introduce the concept of operator AG-preinvex functions and prove some Hermite-Hadamard type inequalities for these functions. As application, we obtain some unitarily invariant norm inequalities for operators.
Taghavi Ali +2 more
doaj +1 more source
On Lipschitz functions of normal operators
, 1985 It is shown that if N and M are normal operators on a separable, complex Hubert space H, and/is a Lipschitz function on Q = a(N) U a(M) (i.e., \f(z) — f(w)\ ,.||2)1/2 be the Hilbert-Schmidt norm of T.
F. Kittaneh
semanticscholar +1 more source
On p-Compact Sets in Classical Banach Spaces
, 2014 Given p ≥ 1, we denote by Cp the class of all Banach spaces X satisfying the equality Kp(Y,X) = Πp(Y,X) for every Banach space Y , Kp (respectively, Πp) being the operator ideal of p-compact operators (respectively, of operators with p-summing adjoint ...
J. M. Delgado, C. Piñeiro
semanticscholar +1 more source
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 Properties of n-perinormal operators
, 2012 In this paper we study spectral properties of class (M,n) or n -perinormal operators. It is shown that if T belongs to class (M,n) , then its point spectrum and joint point spectrum are identical.
S. Mécheri, N. Braha
semanticscholar +1 more source
The diameter of the Birkhoff polytope
Special MatricesThe 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 +2 more
doaj +1 more source
$γ$-Radonifying operators -- a survey [PDF]
arXiv, 2009 We present a survey of the theory of $\gamma$-radonifying operators and their applications to stochastic integration in Banach spaces.
arxiv