Results 281 to 290 of about 2,277,693 (344)
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(p, q)-Regular operators between Banach lattices
Monatshefte für Mathematik (Print), 2017We study the class of (p, q)-regular operators between quasi-Banach lattices. In particular, a representation of this class as the dual of a certain tensor norm for Banach lattices is given.
E. A. Sánchez Pérez, P. Tradacete
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Monatshefte für Mathematik (Print), 2020
We characterize the positive Schur property in the positive projective tensor products of Banach lattices, we establish the connection with the weak operator topology and we give necessary and sufficient conditions for the space of regular multilinear ...
G. Botelho +3 more
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We characterize the positive Schur property in the positive projective tensor products of Banach lattices, we establish the connection with the weak operator topology and we give necessary and sufficient conditions for the space of regular multilinear ...
G. Botelho +3 more
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Regular Maximal Monotone Operators
Set-Valued Analysis, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Verona, Andrei, Verona, Maria E.
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Regularizers of Closed Operators
Canadian Mathematical Bulletin, 1974Let X and Y be two Banach spaces and let B(X, Y) denote the set of bounded linear operators with domain X and range in 7. For T∈B(X, Y), let N(T) denote the null space and R(T) the range of T. J. I. Nieto [5, p. 64] has proved the following two interesting results.
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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.
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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.
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Applied Categorical Structures, 1994
In an \((E,{\mathcal M})\)-category \({\mathcal X}\) for sinks, we identify necessary conditions for Galois connections from the power collection of the class of (composable pairs) of morphisms in \({\mathcal M}\) to factor through the ``lattice'' of all closure operators on \({\mathcal M}\), and to factor through certain sublattices. This leads to the
Castellini, G. +2 more
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In an \((E,{\mathcal M})\)-category \({\mathcal X}\) for sinks, we identify necessary conditions for Galois connections from the power collection of the class of (composable pairs) of morphisms in \({\mathcal M}\) to factor through the ``lattice'' of all closure operators on \({\mathcal M}\), and to factor through certain sublattices. This leads to the
Castellini, G. +2 more
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Regularity of Integral Operators
Integral Equations and Operator Theory, 2004The 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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Complex interpolation and regular operators between Banach lattices
, 1993We study certain interpolation and extension properties of the space of regular operators between two Banach lattices. Let $R_p$ be the space of all the regular (or equivalently order bounded) operators on $L_p$ equipped with the regular norm.
G. Pisier
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On the Regularity of Operators Near a Regular Operator
The American Mathematical Monthly, 2010Using the Riesz theorem, we give a new proof that the linear operators near a regular operator are regular.
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1995
Regular closure operators provide the key instrument for attacking the epimorphism problem in a subcategory A of the given (and, in general, better behaved) category χ. Depending on A one defines the A-regular closure operator of χ in such a way that its dense morphisms in A are exactly the epimorphisms of A.
D. Dikranjan, W. Tholen
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Regular closure operators provide the key instrument for attacking the epimorphism problem in a subcategory A of the given (and, in general, better behaved) category χ. Depending on A one defines the A-regular closure operator of χ in such a way that its dense morphisms in A are exactly the epimorphisms of A.
D. Dikranjan, W. Tholen
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