Displaying similar documents to “On some properties of the Picard operators”

Two Families of Self-adjoint Indecomposable Operators in an Orthomodular Space

Carla Barrios Rodríguez (2008)

Annales mathématiques Blaise Pascal

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Orthomodular spaces are the counterpart of Hilbert spaces for fields other than ℝ or ℂ . Both share numerous properties, foremost among them is the validity of the Projection theorem. Nevertheless in the study of bounded linear operators which started in [], there appeared striking differences with the classical theory. In fact, in this paper we shall construct, on the canonical non-archimedean orthomodular space E of [], two infinite families of self-adjoint bounded linear operators...

On some shift invariant integral operators, univariate case

George A. Anastassiou, Heinz H. Gonska (1995)

Annales Polonici Mathematici

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In recent papers the authors studied global smoothness preservation by certain univariate and multivariate linear operators over compact domains. Here the domain is ℝ. A very general positive linear integral type operator is introduced through a convolution-like iteration of another general positive linear operator with a scaling type function. For it sufficient conditions are given for shift invariance, preservation of global smoothness, convergence to the unit with rates, shape preserving...