Results 51 to 60 of about 13,431 (178)
Gruss inequality for some types of positive linear maps [PDF]
, 2014 Assuming a unitarily invariant norm $|||\cdot|||$ is given on a two-sided ideal of bounded linear operators acting on a separable Hilbert space, it induces some unitarily invariant norms $|||\cdot|||$ on matrix algebras $\mathcal{M}_n$ for all finite ...
Jagjit Singh +2 more
core
Metric Entropy of Homogeneous Spaces
, 1997 For a (compact) subset $K$ of a metric space and $\varepsilon > 0$, the {\em covering number} $N(K , \varepsilon )$ is defined as the smallest number of balls of radius $\varepsilon$ whose union covers $K$.
Szarek, Stanislaw J.
core +3 more sources
On some inequalities for unitarily invariant norms [PDF]
Journal of Mathematical Inequalities, 2013 In this paper, we present several inequalities for unitarily invariant norms by using the convexity of the function g(r )= A r XB 2−r +A 2−r XB r on the interval (0,2). Our results are refinements of some existing inequalities.
Xiaohui Fu, Chuanjiang He
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Boundary representations of locally compact hyperbolic groups
Proceedings of the London Mathematical Society, Volume 131, Issue 6, December 2025.Abstract We develop the theory of Patterson–Sullivan measures for locally compact hyperbolic groups. This theory associates to certain left‐invariant metrics on the group measures on its boundary. Next, we establish irreducibility of the resulting (unitary) Koopman representations for second countable, nonelementary, unimodular locally compact ...
Michael Glasner
wiley +1 more source
Sensitivity of Perron and Fiedler Eigenpairs to Structural Perturbations of a Network
Numerical Linear Algebra with Applications, Volume 32, Issue 5, October 2025.ABSTRACT One can estimate the change of the Perron and Fiedler values for a connected network when the weight of an edge is perturbed by analyzing relevant entries of the Perron and Fiedler vectors. This is helpful for identifying edges whose weight perturbation causes the largest change in the Perron and Fiedler values.
Silvia Noschese, Lothar Reichel
wiley +1 more source
A class of unitarily invariant norms on B(H) [PDF]
, 2001 Let H be a complex Hubert space and let B(H) be the algebra of all bounded linear operators on H. For c = (c1, ..., ck), where c1 ≥ ⋯ ≥ Ck > 0 and p ≥ 1, define the (c,p)-norm of A ∈ B(H) by ∥A∥c,p = (∑i=1 kcisi(A)p) 1/p where si(A) denotes the ith s ...
Chan, JT, Li, CK, Tu, CCN
core
Dirac–Schrödinger operators, index theory and spectral flow
Journal of the London Mathematical Society, Volume 112, Issue 4, October 2025.Abstract In this article, we study generalised Dirac–Schrödinger operators in arbitrary signatures (with or without gradings), providing a general KK$\textnormal {KK}$‐theoretic framework for the study of index pairings and spectral flow. We provide a general Callias Theorem, which shows that the index (or the spectral flow, or abstractly the K ...
Koen van den Dungen
wiley +1 more source
On unitarily invariant norms of matrix-valued linear positive operators
Journal of Inequalities and Applications, 2002 In this paper we prove several inequalities concerning invariant norms of matrices belonging to the range of some matrix-valued Linear Positive Operator (LPO).
Tilli Paolo, Capizzano Stefano Serra
doaj
Unitarily invariant norms related to factors
, 2007 42 pages, the introduction is rewritten, minor ...
Fang, Junsheng, Hadwin, Don
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A note on the magnetic Steklov operator on functions
Mathematika, Volume 71, Issue 4, October 2025.Abstract We consider the magnetic Steklov eigenvalue problem on compact Riemannian manifolds with boundary for generic magnetic potentials and establish various results concerning the spectrum. We provide equivalent characterizations of magnetic Steklov operators which are unitarily equivalent to the classical Steklov operator and study bounds for the ...
Tirumala Chakradhar +3 more
wiley +1 more source