A semitopological algebra without proper closed subalgebras
W. Żelazko (1998)
Colloquium Mathematicae
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To Czesław Ryll-Nardzewski on his 70th birthday
W. Żelazko (1998)
Colloquium Mathematicae
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To Czesław Ryll-Nardzewski on his 70th birthday
M. Wojciechowski, W. Żelazko (1997)
Colloquium Mathematicae
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Choukri, Rachid, El Kinani, Abdellah, Oudadess, Mohamed (2009)
Banach Journal of Mathematical Analysis [electronic only]
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Giuseppe Di Maio, Somashekhar Naimpally (2008)
Matematički Vesnik
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A. Kokk, W. Żelazko (1995)
Studia Mathematica
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Let X be a real or complex vector space. We show that the maximal p-convex topology makes X a complete Hausdorff topological vector space. If X has an uncountable dimension, then different p give different topologies. However, if the dimension of X is at most countable, then all these topologies coincide. This leads to an example of a complete locally pseudoconvex space X that is not locally convex, but all of whose separable subspaces are locally convex. We apply these results to topological...
Alberto Arosio (1974)
Rendiconti del Seminario Matematico della Università di Padova
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E. Anjidani (2014)
Topological Algebra and its Applications
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A topological algebra A is said to be fundamental if there exists b > 1 such that for every sequence (xn) in A, (xn) is Cauchy whenever the sequence bn(xn − xn-1) tends to zero as n → ∞. Let A be a complex unital fundamental F-algebra with bounded elements such that A* separates the points on A. Then we prove that the spectrum σ(a) of every element a ∈ A is nonempty compact. Moreover, if A is a division algebra, then A is isomorphic to the complex numbers ℂ. This result is a generalization...
Aníbal Moltó, José Orihuela, Stanimir Troyanski, Manuel Valdivia (2006)
RACSAM
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Approximation and rigidity properties in renorming constructions are characterized with some classes of simple maps. Those maps describe continuity properties up to a countable partition. The construction of such kind of maps can be done with ideas from the First Lebesgue Theorem. We present new results on the relationship between Kadec and locally uniformly rotund renormability as well as characterizations of the last one with the simple maps used here.
Abel, Mati (2007)
Banach Journal of Mathematical Analysis [electronic only]
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Allam, A.A., Bakeir, M.Y., Abo-Tabl, E.A. (2008)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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