نتایج جستجو برای: positive operator matrices

تعداد نتایج: 813167  

Journal: :Journal of Mathematical Physics 2005

2007
Achi Brandt

The generalized local maximum principle for a difference operator L» asserts that if Lam(jc) > 0 then Vu cannot attain its positive maximum at the net-point x. Here r is a local net-operator such that Tu = u + 0(/i) for any smooth function u. This principle, with simple forms of V, is proved for some quite general classes of second-order elliptic operators Lh, whose associated global matrices a...

Journal: :Journal of Operator Theory 2022

We initiate a theory of locally eventually positive operator semigroups on Banach lattices. Intuitively this means: given initial datum, the solution corresponding Cauchy problem becomes (and stays) in part domain, after sufficiently large time. A drawback present C0-semigroups is that it applicable only when leading eigenvalue semigroup generator has strongly eigenvector. weaken requirement an...

Journal: :Linear & Multilinear Algebra 2022

Quantum measurements can be interpreted as a generalisation of probability vectors, in which non-negative real numbers are replaced by positive semi-definite operators. We extrapolate this analogy to define doubly stochastic matrices that we call normalised tensors (DNTs), and formulate corresponding version Birkhoff-von Neumann's theorem, states permutations the extremal points set matrices. p...

Journal: :Journal of Mathematical Sciences 2023

We show that under an arithmetic condition the spectrum of a bounded multidimensional discrete Hausdorff operator in Lebesgue space is annulus (or disc) centered at origin, provided perturbation matrices commute and are either positive or negative definite. Conditions for point such to be empty given its norm computed.

Journal: :Physical review 2021

In quantum mechanics, states are described by density matrices. Though their probabilistic interpretation is rooted in ensemble theory, matrices embody a known shortcoming. They do not completely express the physical realization of an ensemble. Conveniently, outcome statistics projective and positive operator-valued measurements depend on realization, only matrix. Here, we show how geometric ap...

Journal: :Transactions of the American Mathematical Society 2019

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