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On regular Riesz operators

Quaestiones Mathematicae, 2000
The r-asymptotically quasi finite rank operators on Banach lattices are examples of regular Riesz operators. We characterise Riesz elements in a subalgebra of a Banach algebra in terms of Riesz elements in the Banach algebra. This enables us to characterise r-asymptotically quasi finite rank operators in terms of adjoint operators. The r-asymptotically
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Decomposition of the Space of Regular Operators

Results in Mathematics, 1997
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Beg, Ismat   +2 more
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Regularity of Integral Operators

Integral Equations and Operator Theory, 2004
The article aims on providing a proper analogue to the Hörmander condition for an integral operator to be bounded \(L^p\rightarrow I_\alpha(L^p)\), where the Sobolev space \(I_\alpha(L^p)\) is the image of \(L^p\) under the convolution with the Riesz potential \(I_\alpha: f\rightarrow (| \xi| ^{-\alpha} \widehat{f})^\vee\).
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Operator regularization on the hypersphere

Canadian Journal of Physics, 1989
Operator regularization has proved to be a viable way of computing radiative corrections that avoids both the insertion of a regulating parameter into the initial Lagrangian and the occurrence of explicit infinities at any stage of the calculation. We show how this regulating technique can be used in conjunction with field theories defined on an n + 1-
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Regular Maximal Monotone Operators

Set-Valued Analysis, 1998
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Verona, Andrei, Verona, Maria E.
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Operator regularization of Green’s functions

Physical Review Letters, 1987
Operator regularization in background-field quantization facilitates the use of a perturbative expansion due to Schwinger to compute Green's functions to all orders. The procedure is distinct from the usual Feynman technique. No explicit divergences are encountered.
, McKeon, , Sherry
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Operator regularization and composite operators

Canadian Journal of Physics, 1990
We demonstrate how operator regularization can be used to compute radiative corrections to Green's functions involving composite operators. No divergences are encountered and no symmetry-breaking regulating parameter need be introduced into the initial Lagrangian.
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Conditioning and Regularization of Nonsymmetric Operators

Journal of Optimization Theory and Applications, 1997
The authors introduce a measure of conditioning for a monotone operator, which depends on the strong monotonicity constant and the so-called Dunn constant. A notion of regularization with respect to some operator is defined. The last notion generalizes the classical Yosida regularization.
Renaud, A., Cohen, G.
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Computable operators on regular sets

Mathematical Logic Quarterly, 2004
AbstractFor regular sets in Euclidean space, previous work has identified twelve ‘basic’ computability notions to (pairs of) which many previous notions considered in literature were shown to be equivalent. With respect to those basic notions we now investigate on the computability of natural operations on regular sets: union, intersection, complement,
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Regular Perturbation of an Operator Pencil

Journal of Mathematical Sciences, 2016
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Bikmetov, A. R.   +2 more
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