Results 71 to 80 of about 257,548 (253)
The non-commutative hardy-littlewood maximal operator on non-commutative lorentz spaces
In this work we study the non-commutative Hardy-Littlewoodmaximal operator on Lorentz spacesofτ-measurable operators. Non-commutative maximal inequalities were studied, in particular,in [1–3].
N.T. Bekbayev, K.S. Tulenov
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A Commutative Algebra for Oriented Matroids [PDF]
Let \({\mathcal A}\) be an arrangement of hyperplanes in \({\mathbb R}^\ell\), with linear defining forms \(\{\phi_1,\dots,\phi_n\}\). In his work on cohomology of local systems, \textit{K. Aomoto} introduced the algebra \(AO({\mathcal A})\) of rational forms generated by \((\phi_{i_1}\cdots \phi_{i_k})^{-1}\) where \(\{i_1,\dots,i_k\}\) ranges over ...
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On Spatial Point Processes With Composition‐Valued Marks
Summary Methods for marked spatial point processes with scalar marks have seen extensive development in recent years. While the impressive progress in data collection and storage capacities has yielded an immense increase in spatial point process data with highly challenging non‐scalar marks, methods for their analysis are not equally well developed ...
Matthias Eckardt +2 more
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W1+∞ and W˜ algebras, and Ward identities
It was demonstrated recently that the W1+∞ algebra contains commutative subalgebras associated with all integer slope rays (including the vertical one).
Ya. Drachov, A. Mironov, A. Popolitov
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A Note on Local Polynomial Regression for Time Series in Banach Spaces
ABSTRACT This work extends local polynomial regression to Banach space‐valued time series for estimating smoothly varying means and their derivatives in non‐stationary data. The asymptotic properties of both the standard and bias‐reduced Jackknife estimators are analyzed under mild moment conditions, establishing their convergence rates.
Florian Heinrichs
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On the Homology Theory of Operator Algebras
We investigate the cyclic homology and free resolution effect of a commutative unital Banach algebra. Using the free resolution operator, we define the relative cyclic homology of commutative Banach algebras. Lemmas and theorems of this investigation are
Alaa Hassan Noreldeen
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Asymptotics of Time‐Varying Processes in Continuous‐Time Using Locally Stationary Approximations
ABSTRACT We introduce a general theory on stationary approximations for locally stationary continuous‐time processes. Based on the stationary approximation, we use θ$$ \theta $$‐weak dependence to establish laws of large numbers and central limit type results under different observation schemes.
Robert Stelzer, Bennet Ströh
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Commutative C⁎-Algebras of Toeplitz Operators via the Moment Map on the Polydisk
We found that in the polydisk Dn there exist (n+1)(n+2)/2 different classes of commutative C⁎-algebras generated by Toeplitz operators whose symbols are invariant under the action of maximal Abelian subgroups of biholomorphisms.
Mauricio Hernández-Marroquin +2 more
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Zip and weak zip algebras in a congruence-modular variety [PDF]
The zip (commutative) rings, introduced by Faith and Zelmanowitz, generated a fruitful line of investigation in ring theory. Recently, Dube, Blose and Taherifar developed an abstract theory of zippedness by means of frames.
George Georgescu
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COMMUTANTS AND DOUBLE COMMUTANTS OF REFLEXIVE ALGEBRAS
The author studies the commutant and the double commutant of the algebra \(\text{alg }{\mathcal L}\) of all bounded operators on a Banach space \(X\) leaving invariant each member of a lattice \({\mathcal L}\) of subspaces of \(X\). For example, he proves that when \({\mathcal L}\) is the pentagon subspace lattice, then the only operators commuting ...
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