Results 11 to 20 of about 93,437 (112)
Non injectivity of the q-deformed von Neumann algebra [PDF]
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
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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
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Hilbert-Type Inequalities Revisited [PDF]
Considering different parameters, Hilbert-type integral inequality for functions f(x), g(x) in L2[0, ∞) will be generalized.
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Entanglement of arbitrary superpositions of modes within two-dimensional orbital angular momentum state spaces [PDF]
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
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Some Local Fractional Hilbert-Type Inequalities
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.
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On inequalities of Hilbert's type [PDF]
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
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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
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Potential Inequality with Hilbert Type Kernels
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
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On reverse Hilbert-type inequalities [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xu, Biao +3 more
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Let \(a_n,b_n\geq 0\), \(p>1\), \(1/p+1/q=1\) and ...
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