On topological algebra sheaves of a nuclear type
Anastasios Mallios (1970)
Studia Mathematica
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Displaying similar documents to “On Local Uniform Topological Algebras”
On topological algebra sheaves of a nuclear type
Topologically Invertible Elements and Topological Spectrum
Mati Abel, Wiesław Żelazko (2006)
Bulletin of the Polish Academy of Sciences. Mathematics
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Properties of topologically invertible elements and the topological spectrum of elements in unital semitopological algebras are studied. It is shown that the inversion is continuous in every invertive Fréchet algebra, and singly generated unital semitopological algebras have continuous characters if and only if the topological spectrum of the generator is non-empty. Several open problems are presented.
A uniform F-algebra with locally complete spectrum and with nonglobal peak points
Helmut Goldmann (1987)
Studia Mathematica
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Continuous characters and joint topological spectrum
Wiesław Żelazko (2007)
Control and Cybernetics
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Topological localization in Fréchet algebras.
Batildo Requejo (1994)
Extracta Mathematicae
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P-adic continuously differentiable functions of several variables.
Stany De Smedt (1994)
Collectanea Mathematica
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A note on the singular spectrum.
L. Lindeboom (Groenewald), H. Raubenheimer (1998)
Extracta Mathematicae
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We compare the singular spectrum of a Banach algebra element with the usual spectrum and exponential spectrum.
On Gelfand-Mazur theorem on a class of F -algebras
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...
Central morphisms and envelopes of holomorphy.
Kyriazis, Athanasios (1995)
Portugaliae Mathematica
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Complex analytic properties of certain uniform Fréchet-Schwartz algebras
Bruno Kramm (1980)
Studia Mathematica
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Multipliers of Uniform Topological Algebras
Mohammed El Azhari (2017)
Annales Mathematicae Silesianae
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Let E be a complete uniform topological algebra with Arens-Michael normed factors [...] within an algebra isomorphism ϕ. If each factor Eα is complete, then every multiplier of E is continuous and ϕ is a topological algebra isomorphism where M(E) is endowed with its seminorm topology.