Positivity
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Some note on a positive tensor and its Hadamard powers eigenvalue
Positivity - - 2022
In this paper, we prove that Hadamard power of a even-order positive tensor has only one positive eigenvalue. We define a conditionally negative definite tensor and an m-invertible tensor. We prove that if
$${\mathscr {A}} =(a_{i_1i_2\ldots i_m})$$
is a conditionally negative definite and positive......
Projections in the convex hull of two isometries of absolutely continuous function spaces
Positivity - Tập 25 - Trang 791-799 - 2020
In this paper we provide a complete description of projections in the convex hull of two surjective linear isometries (carrying a weighted composition operator form) on absolutely continuous function space AC(X, E), where X is a compact subset of
$$\mathbb R$$
with at least two points and E is a s......
Near order and metric-like functions on the cone of positive definite matrices
Positivity - Tập 28 - Trang 1-15 - 2023
In this article we introduce a new relation on the cone of positive definite matrices and we study its properties and its effect on operator monotonicity and convexity. Furthermore, we use this new relation to establish analogies between the weighted geometric means
$$A\sharp _t B$$
and the spectr......
Almost everywhere summability of two-dimensional walsh-fourier series
Positivity - Tập 26 - Trang 1-22 - 2022
It is proved that the maximal operators of subsequences of Cesàro means with varying parameters of two-dimensional Walsh-Fourier series is bounded from the dyadic Hardy spaces
$$H_{p}\left( {\mathbb {I}}\right) $$
to
$$L_{p}\lef......
A Kato class for the Khon Laplacian
Positivity - Tập 23 - Trang 789-809 - 2018
In this paper we establish an upper estimate and a 3G-theorem for the Green function of the Khon Laplacian
$$\Delta _{{\mathbb {H}}}$$
on a domain D of the Heisenberg group
......
The interplay between algebras and lattices: Stone–Weierstrass for illustration
Positivity - Tập 28 Số 1 - 2024
Products and factors of Banach function spaces
Positivity - Tập 14 - Trang 301-319 - 2009
Given two Banach function spaces we study the pointwise product space E · F, especially for the case that the pointwise product of their unit balls is again convex. We then give conditions on when the pointwise product E · M(E, F) = F, where M(E, F) denotes the space of multiplication operators from E into F.
Commutators of parabolic fractional integrals with variable kernels in vanishing generalized variable Morrey spaces
Positivity - Tập 26 - Trang 1-19 - 2022
We obtain the boundedness of parabolic fractional integral operators
$$T_{\Omega ,\alpha }$$
with variable kernels
$$\Omega (\cdot ,\cdot )$$
belonging to
......
Tổng số: 988
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