Results 131 to 140 of about 450 (171)

Einstein-Podolsky-Rosen Steering Inequalities and Applications. [PDF]

Entropy (Basel), 2018
Yang Y, Cao H.
europepmc   +1 more source

Kernel machine tests of association using extrinsic and intrinsic cluster evaluation metrics. [PDF]

PLoS Comput Biol
Jensen AM, DeWitt P, Bettcher BM, Wrobel J, Kechris K, Ghosh D.   +5 more
europepmc   +1 more source

Quantum-classical deep learning hybrid architecture with graphene-printed low-cost capacitive sensor for essential tremor detection. [PDF]

Sci Rep
Villalba-Díez J, González-Marcos A.
europepmc   +1 more source

On the directional asymptotic approach in optimization theory. [PDF]

Math Program
Benko M, Mehlitz P.
europepmc   +1 more source

Extremum characterizations of sums of eigenvalues of certain symmetrizable operators on Hilbert spaces

Journal of Mathematical Analysis and Applications, 1992
We present max-inf and min-sup characterizations of finite sums of eigenvalues of certain operators on Hilbert space that are symmetrizable (on the left) relative to a given positive operator.
Lennard, C.J
exaly   +2 more sources

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On a Probabilistic Characterization of Hilbert Space

Theory of Probability & Its Applications, 1977
Summary: In a separable Banach space \(E\), a countably-Hilbert topology can be introduced so that any continuous, with respect to this topology, generalized process is extendable to a measure in \(E'\). Then it is shown that the topology in \(E\) is equivalent to a pre-Hilbert one. This result is also generalized to Freéchet spaces.
openaire   +1 more source

Geometric Characterizations of Hilbert Spaces

Canadian Mathematical Bulletin, 2016
AbstractWe study some geometric properties related to the setobtaining two characterizations of Hilbert spaces in the category of Banach spaces. We also compute the distance of a generic element (h, k) ∊ for H a Hilbert space.
Francisco Javier García-Pacheco, Justin R. Hill   +1 more
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Characterizations and representations of Hilbert-Schmidt frames in Hilbert spaces

2022
Hilbert-Schmidt frame(HS-frame) is essentially an operator-valued frame, it is more general than g-frames, and thus, covers some generalizations of frames. This paper addresses the Hilbert-Schmidt frames theory for Hilbert spaces. We first introduce the notion of HS-preframe operator, and characterize the HS-frames, Parseval HS-frames, HS-Riesz bases ...
Yan-Ling Fu, Wei Zhang
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A CHARACTERIZATION OF HILBERT SPACES

Function Spaces, 2003
BEATA RANDRIANANTOANINA∗ † Abstract. Let X be a Banach space with dual X∗, and let J : X −→ 2X be the duality mapping defined by Jx = {x∗ ∈ X∗ : 〈x, x∗〉 = ‖x‖X , ‖x∗‖X∗ = ‖x‖X}. We prove that if X is a function space so that for every positive simple function x ∈ X there exists a scalar kx so that kx ·x ∈ J(x) then X is isometric to a Hilbert space ...
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Characterizations of Row and Column Hilbert Space

Journal of the London Mathematical Society, 1994
Summary: Many people have obtained theorems that give necessary and sufficient conditions for a Banach space to be isometrically isomorphic to a Hilbert space. We pursue the analogous problem in the category of operator spaces: we give numerous conditions that characterize row and column Hilbert space.
openaire   +1 more source