Norm-Additive Maps on the Positive Definite Cone of a $$\varvec{C^{*}}$$C∗-Algebra
Sign Up to like & getrecommendations! Published in 2018 at "Results in Mathematics"
DOI: 10.1007/s00025-018-0916-4
Abstract: In this paper, we determine the structure of Schatten p-norm additive maps on the set of positive invertible elements of a $$C^{*}$$C∗-algebra carrying a faithful normalized trace. It turns out that any such transformation originates… read more here.
Keywords: positive definite; maps positive; cone varvec; additive maps ... See more keywords
Strictly and Strongly Positive Definite Functions on Locally Compact Hypergroups
Sign Up to like & getrecommendations! Published in 2021 at "Results in Mathematics"
DOI: 10.1007/s00025-021-01466-7
Abstract: In this paper, we initiate and study strictly and strongly X-positive definite functions on a hypergroup K, where X is a subset of K, and give some equivalent conditions. read more here.
Keywords: strictly strongly; definite functions; positive definite; locally compact ... See more keywords
A Unified View of Space–Time Covariance Functions Through Gelfand Pairs
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Fourier Analysis and Applications"
DOI: 10.1007/s00041-020-09793-z
Abstract: We give a characterization of positive definite integrable functions on a product of two Gelfand pairs as an integral of positive definite functions on one of the Gelfand pairs with respect to the Plancherel measure… read more here.
Keywords: characterization; gelfand; view space; unified view ... See more keywords
Positive Definite Functions on Coxeter Groups with Applications to Operator Spaces and Noncommutative Probability
Sign Up to like & getrecommendations! Published in 2017 at "Communications in Mathematical Physics"
DOI: 10.1007/s00220-018-3160-6
Abstract: A new class of positive definite functions related to colour-length function on arbitrary Coxeter group is introduced. Extensions of positive definite functions, called the Riesz–Coxeter product, from the Riesz product on the Rademacher (Abelian Coxeter)… read more here.
Keywords: positive definite; definite functions; coxeter; operator spaces ... See more keywords
Strict positive definiteness in geostatistics
Sign Up to like & getrecommendations! Published in 2017 at "Stochastic Environmental Research and Risk Assessment"
DOI: 10.1007/s00477-017-1432-x
Abstract: Geostatistical modeling is often based on the use of covariance functions, i.e., positive definite functions. However, when interpolation problems have to be solved, it is advisable to consider the subset of strictly positive definite functions.… read more here.
Keywords: positive definite; covariance functions; strictly positive; strict positive ... See more keywords
Transformations on density operators and on positive definite operators preserving the quantum Rényi divergence
Sign Up to like & getrecommendations! Published in 2017 at "Periodica Mathematica Hungarica"
DOI: 10.1007/s10998-016-0174-8
Abstract: In a certain sense we generalize the recently introduced and extensively studied notion called quantum Rényi divergence (also called ”sandwiched Rényi relative entropy”) and describe the structures of corresponding symmetries. More precisely, we characterize all… read more here.
Keywords: positive definite; definite operators; nyi divergence; density operators ... See more keywords
Maps on positive definite operators preserving the quantum $$\chi _\alpha ^2$$χα2-divergence
Sign Up to like & getrecommendations! Published in 2017 at "Letters in Mathematical Physics"
DOI: 10.1007/s11005-017-0989-0
Abstract: We describe the structure of all bijective maps on the cone of positive definite operators acting on a finite and at least two-dimensional complex Hilbert space which preserve the quantum $$\chi _\alpha ^2$$χα2-divergence for some… read more here.
Keywords: positive definite; definite operators; quantum chi; chi alpha ... See more keywords
Pseudospectra localizations for generalized tensor eigenvalues to seek more positive definite tensors
Sign Up to like & getrecommendations! Published in 2019 at "Computational and Applied Mathematics"
DOI: 10.1007/s40314-019-0958-6
Abstract: In this paper, we present the pseudospectrum for generalized tensor eigenvalues, and a set to locate this pseudospectrum. By the relations between H-eigenvalues (Z-eigenvalues) of tensors and generalized tensor eigenvalues, a pseudospectral localization for H-eigenvalues… read more here.
Keywords: positive definite; generalized tensor; tensor; seek positive ... See more keywords
Orthogonal expansions related to compact Gelfand pairs
Sign Up to like & getrecommendations! Published in 2018 at "Expositiones Mathematicae"
DOI: 10.1016/j.exmath.2017.10.005
Abstract: Abstract For a locally compact group G , let P ( G ) denote the set of continuous positive definite functions f : G → C . Given a compact Gelfand pair ( G ,… read more here.
Keywords: positive definite; gelfand pairs; compact gelfand; group ... See more keywords
Geometries on the cone of positive-definite matrices derived from the power potential and their relation to the power means
Sign Up to like & getrecommendations! Published in 2021 at "Linear Algebra and its Applications"
DOI: 10.1016/j.laa.2021.12.012
Abstract: We study a Riemannian metric on the cone of symmetric positive-definite matrices obtained from the Hessian of the power potential function (1 − det(X))/β. We give explicit expressions for the geodesics and distance function, under… read more here.
Keywords: definite matrices; power potential; positive definite; power ... See more keywords
Probabilistic investigation of the effect of stochastic imperfect interfaces in nanocomposites
Sign Up to like & getrecommendations! Published in 2020 at "Mechanics of Materials"
DOI: 10.1016/j.mechmat.2020.103608
Abstract: Abstract This paper presents a probabilistic investigation of the elasticity tensor of an imperfect interface between the nanofillers and matrix in particulate composite materials. Moreover, the effect of nanometric scale, which is typically neglected in… read more here.
Keywords: surface; imperfect; positive definite; effect ... See more keywords