Results 21 to 30 of about 594 (163)
Singular Riesz measures on symmetric cones [PDF]
Advances in Operator Theory, 2018 In this paper, we give an explicitdescription of a class of positive measures on symmetric conesdefined by their Laplace transforms in the framework of the Rieszintegrals. This work is motivated by the importance of thesemeasures in probability theory and statistics sincethey represent a generalization of the measures generating the famous Wishart ...
Hassairi, Abdelhamid, Lajmi, Sallouha
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Representations of Riesz spaces as spaces of measures. I [PDF]
Czechoslovak Mathematical Journal, 1992 The author gives a concrete representation for spaces which reflect many properties of duality. Especially he shows that a Riesz space \(E\) can be represented as an order dense Riesz subspace of a band \(M\) of measures iff it is represented by the set \(E^ \pi\) of its order continuous linear forms.
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Amenability Constants for Unconditional Sums of Banach Algebras
Mathematische Nachrichten, EarlyView.ABSTRACT We study Johnson amenability for unconditional direct sums of Banach algebras. Given a family (Ai)i∈I$(A_i)_{i\in I}$ of Banach algebras and a Banach sequence lattice E$E$ on I$I$, the E$E$‐sum ⨁i∈IAiE${\bigl (\bigoplus _{i\in I} A_i\bigr)}_{\!E}$ carries a natural Banach algebra structure via coordinatewise multiplication.
Tomasz Kania, Jerzy Ka̧kol
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On the Riesz Transforms for Gaussian Measures
Journal of Functional Analysis, 1994 Let \(B\) be an \(n\times n\) positive-definite symmetric matrix, and \(L_ B\) the second order partial differential operator in \(\mathbb{R}^ n\) defined by \(L_ Bu= {1\over 2}\Delta- Bx\cdot \nabla u\). The operator \(L_ B\) is selfadjoint with respect to the Gaussian probability measure \(\gamma_ n^ B(x)dx\), where \(\gamma_ n^ B(x)= C_{n,B} \exp ...
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A new perspective on the Riesz potential
Advances in Nonlinear Analysis, 2017 This paper offers a new perspective to look at the Riesz potential. On the one hand, it is shown that not only 𝔏q,qp-1(n-αp)∩𝔏p,κ-αp\mathfrak{L}^{q,qp^{-1}(n-\alpha p)}\cap\mathfrak{L}^{p,\kappa-\alpha p} contains IαLp,κ{I_{\alpha}L^{p,\kappa ...
Xiao Jie
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this second part of our series of papers, we develop an abstract framework suitable for de Rham complexes that depend on a parameter belonging to an arbitrary Banach space. Our primary focus is on spectral perturbation problems and the differentiability of eigenvalues with respect to perturbations of the involved parameters. As a byproduct,
Pier Domenico Lamberti +2 more
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Boundedness of Bessel–Riesz Operator in Variable Lebesgue Measure Spaces
MathematicsIn this manuscript, we establish the boundedness of the Bessel–Riesz operator Iα,γf in variable Lebesgue spaces Lp(·). We prove that Iα,γf is bounded from Lp(·) to Lp(·) and from Lp(·) to Lq(·).
Muhammad Nasir +3 more
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT This paper develops a mathematical framework for interpreting observations of solar inertial waves in an idealized setting. Under the assumption of purely toroidal linear waves on the sphere, the stream function of the flow satisfies a fourth‐order scalar equation.
Tram Thi Ngoc Nguyen +3 more
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On (in)dependence measures in Riesz spaces
Journal of Mathematical Analysis and Applications, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Points of narrowness and uniformly narrow operators
Karpatsʹkì Matematičnì Publìkacìï, 2017 It is known that the sum of every two narrow operators on $L_1$ is narrow, however the same is false for $L_p$ with $1 < p < \infty$. The present paper continues numerous investigations of the kind.
A.I. Gumenchuk +2 more
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