Results 11 to 20 of about 1,147,876 (300)
On automatic continuity of homomorphisms [PDF]
Proceedings of the American Mathematical Society, 1999 Introducing a weaker notion of regularity in a topological algebra, we examine and improve an automatic continuity theorem given by the second author. Examples and applications are given.
Beddaa, A., Bhatt, S. J., Oudadess, M.
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AUTOMATIC CONTINUITY FOR ISOMETRY GROUPS [PDF]
Journal of the Institute of Mathematics of Jussieu, 2017 We present a general framework for automatic continuity results for groups of isometries of metric spaces. In particular, we prove automatic continuity property for the groups of isometries of the Urysohn space and the Urysohn sphere, i.e. that any homomorphism from either of these groups into a separable group is continuous. This answers a question of
Marcin Sabok
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Automatic continuity of perturbations of casual operators [PDF]
Bulletin of the Australian Mathematical Society, 1997 We obtain automatic continuity results for finite-rank perturbations of causal sequence space operators, and provide examples to illustrate cases where automatic continuity does not hold.
Harrison, K.J., Eaton, L-J, Ward, J.A.
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Aspects of automatic continuity
We introduce several new results regarding automatic continuity in models of AC+DC without Vitali sets, which involves novel applications of the characteristic subgroup associated with a homomorphism.
Rosendal, Christian, Suarez, Luis Carlos
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Double Derivations, Higher Double Derivations and Automatic Continuity [PDF]
Journal of Sciences, Islamic Republic of Iran, 2013 Let be a Banach algebra. Let be linear mappings on . First we demonstrate a theorem concerning the continuity of double derivations; especially that all of -double derivations are continuous on semi-simple Banach algebras, in certain case.
H. Mahdavian Rad, A. Niknam
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Automatic continuity of polynomial maps and cocycles [PDF]
Proceedings of the American Mathematical SocietyClassical theorems from the early 20th century state that any Haar measurable homomorphism between locally compact groups is continuous. In particular, any Lebesgue-measurable homomorphism
Meyerovitch, Tom, Solan, Omri Nisan
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The automatic continuity for particular type of homomorphism nonassociative algebras [PDF]
مجلة التربية والعلم, 2008 Rodriguez conjecture ensures the automatic continuity of a dense range homomorphism from a complete normed nonassociative algebra into another one with zero strong radical. Rodriguez conjecture still unsolved.
Roqya Ballo, Amer Mohammed
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Joint Continuity of Bi-multiplicative Functionals [PDF]
Sahand Communications in Mathematical Analysis, 2021 For Banach algebras $\mathcal{A}$ and $\mathcal{B}$, we show that if $\mathfrak{A}=\mathcal{A}\times \mathcal{B}$ is unital, then each bi-multiplicative mapping from $\mathfrak{A}$ into a semisimple commutative Banach algebra $\mathcal{D}$ is jointly ...
Abbas Zivari-Kazempour, Mohamad Valaei
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, 2019 Georg Cantor (1845-1919), with his seminal work on sets and number, brought forth a new field of inquiry, set theory, and ushered in a way of proceeding in mathematics, one at base infinitary, topological, and combinatorial. While this was the thrust,
Kanamori, Akihiro, Akihiro Kanamori
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Meteorologische Zeitschrift, 2023 Harmonizing automatic with conventional meteorological measurements is essential to ensure continuity and homogeneity of long-term climate observations when considering the transition from manual (conventional) to automatic measurement regimes.
Veronika Lukasová +5 more
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