Results 21 to 30 of about 2,405 (191)
The Automatic Continuity of Linear Operators on Some Semi-Prime Banach Algebra [PDF]
Pure and Applied Mathematics Journal, 2015 Conditions are given for Banach algebras A and Banach algebras B which insure that every homomorphism T from A into B is automatic continuous. Similar results are obtained for derivations which either map the algebra A into itself.
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Rearrangements of Measurable Functions [PDF]
, 1970 Let (X, Λ, μ) be a measure space and let M(X, μ) denote the set of all extended real valued measurable functions on X. If (X1, Λ1, μ1) is also a measure space and f ϵ M(X, μ) and g ϵ M(X1, μ1), then f and g are said to be equimeasurable (written f ~ g ...
Day, Peter William
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Eventually positive elements in ordered Banach algebras
, 2023 summary:In ordered Banach algebras, we introduce eventually and asymptotically positive elements. We give conditions for the following spectral properties: the spectral radius belongs to the spectrum (Perron--Frobenius property); the spectral radius is ...
Herzog, Gerd, Kunstmann, Peer C.
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, 2014 We show that the existence of a surjective isometry (which is merely a distance preserving map) between the unitary groups of unital C*-algebras implies the existence of a Jordan *-isomorphism between the algebras.
Hatori, Osamu, Molnár, Lajos
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this second part of our series of papers, we develop an abstract framework suitable for de Rham complexes that depend on a parameter belonging to an arbitrary Banach space. Our primary focus is on spectral perturbation problems and the differentiability of eigenvalues with respect to perturbations of the involved parameters. As a byproduct,
Pier Domenico Lamberti +2 more
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Maximal ideals in the algebra of operators on certain Banach spaces. [PDF]
, 2002 For a Banach space $\mathfrak{X}$, let $\mathcal{B}(\mathfrak{X})$ denote the Banach algebra of all continuous linear operators on $\mathfrak{X}$. First, we study the lattice of closed ideals in $\mathcal{B}(\mathfrak{J}_p)$, where $1 < p < \infty$ and $\
Laustsen, Niels Jakob +1 more
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Regular abelian Banach algebras of linear maps of operator algebras
Journal of Functional Analysis, 1980 AbstractWith H a complex Hilbert space we study regular abelian Banach subalgebras of the Banach algebra of bounded linear maps of B(H) into itself. If a ⊗ b denotes the map x → axb, a, b, x ϵ B(H), it is shown that normalized positive maps in algebras of the form A ⊗ A with A an abelian C∗-algebra, can be described by a generalized Bochner theorem.
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT This paper develops a mathematical framework for interpreting observations of solar inertial waves in an idealized setting. Under the assumption of purely toroidal linear waves on the sphere, the stream function of the flow satisfies a fourth‐order scalar equation.
Tram Thi Ngoc Nguyen +3 more
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A Note on Local Polynomial Regression for Time Series in Banach Spaces
Journal of Time Series Analysis, EarlyView.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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Open Mathematics, 2009 Abstract The projection-algebraic approach of the Calogero type for discrete approximations of linear and nonlinear differential operator equations in Banach spaces is studied. The solution convergence and realizability properties of the related approximating schemes are analyzed.
Lustyk, Miroslaw +3 more
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