Results 291 to 300 of about 313,988 (307)

Metric Generalized Inverse of Linear Operator in Banach Space

Chinese Annals of Mathematics, 2003
Adapted from the authors' abstract: ``The Moore-Penrose metric generalized inverse \(T^+\) of a linear operator \(T\) between Banach spaces is systematically investigated. Unlike the case of Hilbert space, even if \(T\) is a linear operator on a Banach space, \(T^+\) may be nonhomogeneous and nonlinear.
Wang, Hui, Wang, Yuwen
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Fundamental Spaces and Operators of Linear Hydrodynamics

2001
In this chapter we investigate the fundamental operators of vector analysis and their applications to the study of vector fields from L2 (Ω). Since such fields are not required to be smooth, the Riesz theorem on the representation of linear functionals is going to play a significant role.
Nikolay D. Kopachevsky, Selim G. Krein
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Maximal Ideals in Some Spaces of Bounded Linear Operators

Proceedings of the Edinburgh Mathematical Society, 2018
We add to the list of Banach spaces X for which it is known that the space of bounded linear operators on X has a unique maximal ideal. In particular, the result holds if X is a subsymmetric direct sum of ℓp or of the Schlumprecht space S. We also show that two recently identified ideals in L(Jp), where Jp is the pth James space, each contains a unique
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The Moduli Space of Linear Operators

This paper explores the construction and properties of the moduli space of linear operators on a finite-dimensional vector space. By employing the powerful framework of Geometric Invariant Theory (GIT), we analyze the action of the general linear group on the space of endomorphisms via conjugation.
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Reflexivity for Subspace Maps and Linear Spaces of Operators

Proceedings of the London Mathematical Society, 1986
The purpose of this paper is to give a systematic account of generalized reflexivity in a new formulation which contains an object analogous to lattices. Many results concerning algebras and lattices are extended to the new situation. This concept of reflexivity has already proved its worth.
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Linear combinations of composition operators on weighted Dirichlet spaces

Wuhan University Journal of Natural Sciences, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Spectra of Continuous Linear Operators on Separable Fréchet Spaces

Mathematical Notes, 2001
The main result proved in the paper is the following: Let \(A \subseteq \mathbb{C}\) be a set of type \(G_{\delta \sigma}\). Then there is an infinite-dimensional separable Fréchet space \(X\) and a continuous linear operator \(T\) on \(X\) such that \(A\) coincides with the spectrum \(\sigma(T)\) of \(T\).
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Spaces of Linear Operators between Partially Ordered Banach Spaces

Proceedings of the London Mathematical Society, 1974
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On the position of the space of representable operators in the space of linear operators

1997
The author studies complementability of the space \(R(L^1 (\lambda),Y)\) of representable operators in the space of all bounded operators \(L(L^1 (\lambda),Y)\). It is given a number of examples when \(R(L^1 (\lambda),Y)\) is complemented in \(L(L^1 (\lambda),Y)\), extending the known case \(Y=L^1 (\mu)\). For instance, when \(Y\) is a predual of a \(W^
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Ranges of non‐linear operators in BANACH spaces

Mathematische Nachrichten, 1979
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