Results 11 to 20 of about 93,437 (112)

Non injectivity of the q-deformed von Neumann algebra [PDF]

open access: yes, 2004
We prove that the von Neumann algebra generated by q-gaussians is not injective as soon as the dimension of the underlying Hilbert space is greater than 1. Our approach is based on a vector valued Khintchine type inequality for Wick products.
Nou, Alexandre
core   +3 more sources

A Hilbert type inequality

open access: yesTamkang Journal of Mathematics, 2000
In this paper we obtain a new inequality of Hilbert type for a finite number of nonnegative sequences of real numbers from which we can recover as a special case an inequality due to Pachpatte. We also obtain an integral variant of the inequality.
Handley, G. D.   +2 more
openaire   +3 more sources

Hilbert-Type Inequalities Revisited [PDF]

open access: yesJournal of Mathematics and Statistics, 2016
Considering different parameters, Hilbert-type integral inequality for functions f(x), g(x) in L2[0, ∞) will be generalized.
openaire   +1 more source

Entanglement of arbitrary superpositions of modes within two-dimensional orbital angular momentum state spaces [PDF]

open access: yes, 2010
We use spatial light modulators (SLMs) to measure correlations between arbitrary superpositions of orbital angular momentum (OAM) states generated by spontaneous parametric down-conversion.
Barnett, S. M.   +7 more
core   +1 more source

Some Local Fractional Hilbert-Type Inequalities

open access: yesFractal and Fractional, 2023
The main purpose of this paper is to prove some new local fractional Hilbert-type inequalities. Our general results are applicable to homogeneous kernels. Furthermore, the best possible constants in terms of local fractional hypergeometric function are obtained.
openaire   +2 more sources

On inequalities of Hilbert's type [PDF]

open access: yesBulletin of the Australian Mathematical Society, 2007
By introducing the function 1/(min{x, y}), we establish several new inequalities similar to Hilbert's type inequality. Moreover, some further unification of Hardy-Hilbert's and Hardy-Hilbert's type integral inequality and its equivalent form with the best constant factor are proved, which contain the classic Hilbert's inequality as special case.
Yongjin Li, Bing He
openaire   +1 more source

Bohr's inequality revisited

open access: yes, 2011
We survey several significant results on the Bohr inequality and presented its generalizations in some new approaches. These are some Bohr type inequalities of Hilbert space operators related to the matrix order and the Jensen inequality.
Fujii, Masatoshi   +2 more
core   +1 more source

Potential Inequality with Hilbert Type Kernels

open access: yesAnnals of the Alexandru Ioan Cuza University - Mathematics, 2014
Abstract We generalize to the n-dimensional case the set of sufficient conditions on the kernel under which the maximum principle and the potential inequality hold, given by Rao and Šikić in the 1-dimensional case. These conditions are satisfied for Hilbert-type kernels and we are able to construct new families of exponentially convex functions.
Elezović, Neven   +2 more
openaire   +2 more sources

On reverse Hilbert-type inequalities [PDF]

open access: yesJournal of Inequalities and Applications, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xu, Biao   +3 more
openaire   +2 more sources

A New Hilbert-Type Inequality

open access: yesBulletin of the Belgian Mathematical Society - Simon Stevin, 2006
Let \(a_n,b_n\geq 0\), \(p>1\), \(1/p+1/q=1\) and ...
openaire   +3 more sources

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