Results 21 to 30 of about 1,026 (231)
A simple approach to the Perron-Frobenius theory for positive operators on general partially-ordered
This paper presents simple proofs of the principal results of the Perron-Frobenius theory for linear mappings on finite-dimensional spaces which are nonnegative relative to a general partial ordering on the space.
W. Rheinboldt, J. Vandergraft
semanticscholar +2 more sources
Operator Hydrodynamics, OTOCs, and Entanglement Growth in Systems without Conservation Laws
Thermalization and scrambling are the subject of much recent study from the perspective of many-body quantum systems with locally bounded Hilbert spaces (“spin chains”), quantum field theory, and holography.
C. W. von Keyserlingk +3 more
doaj +1 more source
Smarandache semirings, semifields, and semivector spaces [PDF]
Smarandache notions, which can be undoubtedly characterized as interesting mathematics, has the capacity of being utilized to analyse, study and introduce, naturally, the concepts of several structures by means of extension or identification as a ...
Vasantha, Kandasamy
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Riesz representation theorems for positive linear operators
We generalise the Riesz representation theorems for positive linear functionals on $\mathrm{C}_{\mathrm c}(X)$ and $\mathrm{C}_{\mathrm 0}(X)$, where $X$ is a locally compact Hausdorff space, to positive linear operators from these spaces into a ...
Jiang, X. +3 more
core +1 more source
The order of neutrality for linear operators on inner product spaces
On a complex vector space \({\mathcal H}\) an inner product \([\cdot,\cdot]\) and a symmetric linear operator \(A\) are defined in a usual way. A subspace \({\mathcal S}\subseteq{\mathcal H}\) is said to be neutral if \([x,y]= 0\) for all \(x,y\in{\mathcal S}\). Earlier, Lancaster et al.
Lancaster, P., Markus, A.S., Zizler, P.
openaire +2 more sources
Idempotent structures in optimization [PDF]
Consider the set A = R ∪ {+∞} with the binary operations o1 = max and o2 = + and denote by An the set of vectors v = (v1,...,vn) with entries in A. Let the generalised sum u o1 v of two vectors denote the vector with entries uj o1 vj , and the product
Kolokoltsov, V. N. (Vasiliĭ Nikitich)
core +1 more source
The Riesz–Kantorovich formula for lexicographically ordered spaces
If L and M are partially ordered vector spaces, then one can consider regular linear maps from L to M, i.e. linear maps which can be written as the difference of two positive linear maps.
W. Schouten
semanticscholar +1 more source
We show that the existence of a surjective isometry (which is merely a distance preserving map) between the unitary groups of unital C*-algebras implies the existence of a Jordan *-isomorphism between the algebras.
Hatori, Osamu, Molnár, Lajos
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Eventually positive elements in ordered Banach algebras
summary:In ordered Banach algebras, we introduce eventually and asymptotically positive elements. We give conditions for the following spectral properties: the spectral radius belongs to the spectrum (Perron--Frobenius property); the spectral radius is ...
Herzog, Gerd, Kunstmann, Peer C.
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Fixed point index computations for multivalued mapping and application to the problem of positive eigenvalues in ordered space [PDF]
[EN] In this paper, we present some results on fixed point index calculations for multivalued mappings and apply them to prove the existence of solutions to multivalued equations in ordered space, under flexible conditions for the positive eigenvalue ...
Tri, Vo Viet
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