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Fuzzy harmonic mean operators

International Journal of Intelligent Systems, 2009
Summary: Harmonic mean is a conservative average, which is widely used to aggregate central tendency data. In the existing literature, the harmonic mean is generally considered as a fusion technique of numerical data information. In this paper, we investigate the situations in which the input data are expressed in fuzzy values and develop some fuzzy ...
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On Mean Ergodic Operators

2009
Aspects of the theory of mean ergodic operators and bases in Frechet spaces were recently developed in [1]. This investigation is extended here to the class of barrelled locally convex spaces. Duality theory, also for operators, plays a prominent role.
ALBANESE, Angela Anna   +2 more
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MEAN VALUE OF ANALYTIC OPERATOR FUNCTIONS

Acta Mathematica Scientia, 1995
Summary: It is proved that if \(A\) is a normal proper contraction on Hilbert space \({\mathcal H}\) and \(F(z)=U(z)+iV(z)\) is operator-valued analytic on the unit disc \(\Delta\) and ...
Yu, Xiaopei, Jian, Ming
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Theory of operator means

Ukrainian Mathematical Journal, 1990
See the review in Zbl 0709.47018.
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Operator means and networks

Integral Equations and Operator Theory, 1991
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Operator means and positivity of block operators

Mathematische Zeitschrift, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Mean-Value Operator

2010
It is a consequence of a well-known theorem of Godement [1952] that if X is a two-point homogeneous space and u a harmonic function on X, i.e., Lu = 0, then u has the mean-value ...
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The Spectrum of Weighted Mean Operators

Canadian Mathematical Bulletin, 1987
AbstractRecently J. B. Reade determined the spectrum of C, the Cesaro matrix of order 1, considered as an operator on c0, the space of null sequences. Previously F. P. A. Cass and the author had determined the spectra for a large class of weighted mean operators on c, the space of convergent sequences.
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MEAN CONVERGENCE OF SOME POSITIVE OPERATORS

Acta Mathematica Scientia, 1995
Summary: \(L^p\) convergence with \(0 ...
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Operator Means and the Relative Operator Entropy

1992
The notion of operator monotone functions was introduced by Lowner and that of operator concave functions by Kraus who is his student. Operator means were introduced by Ando and the general theory of them was established by Kubo and Ando himself. By their theory, a nonnegative operator monotone function is now considered as a variation of an operator ...
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