Results 141 to 150 of about 6,376 (252)
Generalized Derivations and Bilocal Jordan Derivations of Nest Algebras
Let H be a complex Hilbert space and B(H) the collection of all linear bounded operators, A is the closed subspace lattice including 0 an H, then A is a nest, accordingly alg A={T∈B(H):TN⊆N, ∀N∈A} is a nest algebra. It will be shown that of nest algebra,
Dangui Yan, Chengchang Zhang
doaj +1 more source
Covariance Estimation for Wide Data
Covariance matrix estimation is fundamental to multivariate analysis, with applications spanning finance, genomics, climate science, and signal processing. This review synthesizes recent advances in high‐dimensional covariance estimation‐thresholding, linear and nonlinear shrinkage, graphical models, and random matrix theory‐under a unifying framework ...
Eran Raviv
wiley +1 more source
Model-Theoretic Investigations into Consequence Operation (Cn) in Quantum Logics: An Algebraic Approach. [PDF]
In this paper, we present the fundamentals of the so-called algebraic approach to propositional quantum logics. We define the set of formulae describing quantum reality as a free algebra freely generated by the set of quantum proportional variables.
WILCZEK, Piotr
core
Relation between right and left involutions of a Hilbert algebra
Existence of a densely defined right involution in a Hilbert algebra implies existence of a left involution.
P. P. Saworotnow
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On Pták functions for bounded operators
The purpose of this paper is to prove that if the Pták function p is an operator norm, on \mathcal{B}(E), associated to a norm | . |, then (E, | . |) is a pseudo-Hilbert space.
Abdellah El Kinani
doaj
The Modified Camassa–Holm Equation on the Half Line: A Riemann–Hilbert Approach
ABSTRACT We consider the initial‐boundary value (IBV) problem for the modified Camassa–Holm (mCH) equation m∼t+(u∼2−u∼x2+2u∼)m∼x=0,m∼:=u∼−u∼xx+1$\tilde{m}_t+{\left((\tilde{u}^2-\tilde{u}_x^2+2\tilde{u})\tilde{m}\right)}_x = 0, \qquad \tilde{m}:=\tilde{u}-\tilde{u}_{xx}+1$ on the half‐line x≥0$x \ge 0$.
Iryna Karpenko, Dmitry Shepelsky
wiley +1 more source
Spatial depth for data in metric spaces
Abstract We propose a novel measure of statistical depth, the metric spatial depth, for data residing in an arbitrary metric space. The measure assigns high (low) values for points located near (far away from) the bulk of the data distribution, allowing quantifying their centrality/outlyingness.
Joni Virta
wiley +1 more source
Generating Series of the Poincaré Polynomials of Quasihomogeneous Hilbert Schemes
In this paper we prove that the generating series of the Poincaré polynomials of quasihomogeneous Hilbert schemes of points in the plane has a beautiful decomposition into an infinite product.
Morier-Genoud, S. +4 more
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Maximum number of zeroes of polynomials on weighted projective spaces over a finite field
Abstract We compute the maximum number of rational points at which a homogeneous polynomial can vanish on a weighted projective space over a finite field, provided that the first weight is equal to 1. This solves a conjecture by Aubry, Castryck, Ghorpade, Lachaud, O'Sullivan and Ram, which stated that a Serre‐like bound holds with equality for weighted
Jade Nardi, Rodrigo San‐José
wiley +1 more source
Holographic observers for time-band algebras
We study the algebra of observables in a time band on the boundary of anti-de Sitter space in a theory of quantum gravity. Strictly speaking this algebra does not have a commutant because products of operators within the time band give rise to operators ...
Kristan Jensen +2 more
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