Further properties of an extremal set of uniqueness
David Grow, Matt Insall (1998)
Colloquium Mathematicae
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David Grow, Matt Insall (1998)
Colloquium Mathematicae
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Bludov, V.V. (2002)
Sibirskij Matematicheskij Zhurnal
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Kulczycki, Marcin (2002)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Grigorenko, O.V., Roman'kov, V.A. (2007)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
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Petelczyc, Krzysztof (2005)
Beiträge zur Algebra und Geometrie
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Jérôme Verliat (2007)
Extracta Mathematicae
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In this paper, we will use results developed by Ansari and Enflo in the theory of bounded linear operators with dense range. We define two maps, with regards to some parameters, that control surjectivity default of a given operator, and prove analycity for the first one and global continuity for the other one. Minimisation results are also obtained in relation to this study.
Jean Esterle (1994)
Banach Center Publications
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Kiguradze, T. (1999)
Georgian Mathematical Journal
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Antoniewicz, Anna (2005)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Gutman, A.E., Kutateladze, S.S. (2008)
Sibirskij Matematicheskij Zhurnal
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Artur Korniłowicz (2009)
Formalized Mathematics
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The article starts with definitions of sets of opposite and inverse numbers of a given number membered set. Next, collective addition, subtraction, multiplication and division of two sets are defined. Complex numbers cases and extended real numbers ones are introduced separately and unified for reals. Shortcuts for singletons cases are also defined.
Tetruashvili, M. (1994)
Georgian Mathematical Journal
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Kirti Joshi, C. S. Yogananda (1999)
Acta Arithmetica
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While trying to understand the methods and the results of [3], especially in Section 2, we stumbled on an identity (*) below, which looked worth recording since we could not locate it in the literature. We would like to thank Dinesh Thakur and Dipendra Prasad for their comments.