Double multipliers on topological algebras.
Khan, L.A., Mohammad, N., Thaheem, A.B. (1999)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “Quasimultipliers on -algebras.”
Double multipliers on topological algebras.
Continuity of homomorphisms into normed algebras without topological divisors of zero.
ÁNGEL RODRÍGUEZ PALACIOS (2000)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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A remark on non-existence of an algebra norm for the algebra of continuous functions on a topological space admitting an unbounded continuous function
Alexander Pruss (1995)
Studia Mathematica
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Let X be any topological space, and let C(X) be the algebra of all continuous complex-valued functions on X. We prove a conjecture of Yood (1994) to the effect that if there exists an unbounded element of C(X) then C(X) cannot be made into a normed algebra.
Some remarks on topological algebras
W. Żelazko (1963)
Studia Mathematica
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Locally convex inductive limits of normed algebras
Alberto Arosio (1974)
Rendiconti del Seminario Matematico della Università di Padova
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On the locally bounded and m-convex topological algebras
W. Żelazko (1960)
Studia Mathematica
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Normed "upper interval" algebras without nontrivial closed subalgebras
C. J. Read (2005)
Studia Mathematica
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It is a long standing open problem whether there is any infinite-dimensional commutative Banach algebra without nontrivial closed ideals. This is in some sense the Banach algebraists' counterpart to the invariant subspace problem for Banach spaces. We do not here solve this famous problem, but solve a related problem, that of finding (necessarily commutative) infinite-dimensional normed algebras which do not even have nontrivial closed subalgebras. Our examples are incomplete normed...
On topological divisors of zero in p-normed algebras without unit
W. Żelazko (1967)
Colloquium Mathematicae
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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.
On the non-existence of norms for some algebras of functions
Bertram Yood (1994)
Studia Mathematica
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Let C(Ω) be the algebra of all complex-valued continuous functions on a topological space Ω where C(Ω) contains unbounded functions. First it is shown that C(Ω) cannot have a Banach algebra norm. Then it is shown that, for certain Ω, C(Ω) cannot possess an (incomplete) normed algebra norm. In particular, this is so for where ℝ is the reals.
Renormalizations of Banach and locally convex algebras
Antonio Fernández, Vladimír Müller (1990)
Studia Mathematica
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On continuity of circle operation in normed algebras.
P. K. Kamthan (1966)
Collectanea Mathematica
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On functional representation of locally -pseudoconvex algebras.
Arhippainen, Jorma (1999)
International Journal of Mathematics and Mathematical Sciences
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Multipliers and hereditary subalgebras of operator algebras
Damon M. Hay (2011)
Studia Mathematica
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We generalize some technical results of Glicksberg to the realm of general operator algebras and use them to give a characterization of open and closed projections in terms of certain multiplier algebras. This generalizes a theorem of J. Wells characterizing an important class of ideals in uniform algebras. The difficult implication in our main theorem is that if a projection is open in an operator algebra, then the multiplier algebra of the associated hereditary subalgebra arises as...