Compactness properties of vector-valued integration maps in locally convex spaces
S. Okada, S. Ricker (1994)
Colloquium Mathematicae
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S. Okada, S. Ricker (1994)
Colloquium Mathematicae
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Susumu Okada, Werner Ricker (1993)
Colloquium Mathematicae
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Laurent Vanderputten (2001)
Extracta Mathematicae
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Mecheri, Salah (2009)
International Journal of Open Problems in Computer Science and Mathematics. IJOPCM
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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...
Chen, Qiong, Liu, Lanzhe (2009)
International Journal of Open Problems in Computer Science and Mathematics. IJOPCM
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Nielsen, Lance (2010)
The New York Journal of Mathematics [electronic only]
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Saksman, Eero, Tylli, Hans-Olav (2008)
Annales Academiae Scientiarum Fennicae. Mathematica
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Hans Jarchow (2004)
Extracta Mathematicae
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Zhou, Xiaosha, Liu, Lanzhe (2009)
Acta Universitatis Apulensis. Mathematics - Informatics
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Yu. Farforovskaya (1994)
Banach Center Publications
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This paper shows some directions of perturbation theory for Lipschitz functions of selfadjoint and normal operators, without giving precise proofs. Some of the ideas discussed are explained informally or for the finite-dimensional case. Several unsolved problems are mentioned.