Results 21 to 30 of about 1,450,468 (275)
Continuous functions with compact support
The main aim of this paper is to investigate a subring of the ring of continuous functions on a topological space X with values in a linearly ordered field F equipped with its order topology, namely the ring of continuous functions with compact support ...
Sudip Kumar Acharyya +2 more
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Commutation Properties of Operator Polynomials [PDF]
Suppose A and B are continuous linear operators mapping a complex Banach space X into itself. For any polynomial pC, it is obvious that when A commutes with B, then p(A) commutes with B. To see that the reverse implication is false, let A be nilpotent of order n. Then An commutes with all B but A cannot do so. Sufficient conditions for the implication:
openaire +2 more sources
Let R be a ring. An R-module M is called a (weak) duo module provided every (direct summand) submodule of M is fully invariant. It is proved that if R is a commutative domain with field of fractions K then a torsion-free uniform R-module is a duo module ...
Harmancı, A. +7 more
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Generators of maximal left ideals in Banach algebras [PDF]
In 1971, Grauert and Remmert proved that a commutative, complex, Noetherian Banach algebra is necessarily finite-dimensional. More precisely, they proved that a commutative, complex Banach algebra has finite dimension over C whenever all the closed ...
Dales, H.G., Zelazko, W.
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On n-fold fuzzy implicative/commutative ideals of BCK-algebras
We consider the fuzzification of the notion of an n-fold implicative ideal, an n-fold (weak) commutative ideal. We give characterizations of an n-fold fuzzy implicative ideal. We establish an extension property for n-fold fuzzy commutative ideals.
Young Bae Jun
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Commutator Properties for Periodic Splines
Commutator properties are established for periodic splines with distinct uniformly spaced knots (on uniform meshes) operated on by certain pseudodifferential operators. The commutation involves the operations of multiplication by a smooth function and application of a discrete version of orthogonal projection obtained by using a quadrature rule (which ...
Sloan, I.H., Wendland, W.
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Commutative Languages and their Composition by Consensual Methods [PDF]
Commutative languages with the semilinear property (SLIP) can be naturally recognized by real-time NLOG-SPACE multi-counter machines. We show that unions and concatenations of such languages can be similarly recognized, relying on – and further ...
Stefano Crespi Reghizzi +1 more
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Spectral Properties and Stability in Vector-Valued Lipschitz Algebras [PDF]
Let $A$ be a commutative Banach algebra and $(K,d)$ be a compact metric space. In this paper, we examine various spectral properties, including the unique uniform norm property, weak regularity, Ditkin's condition and local operators, within the context
Hossein Aboubakri +2 more
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Semidegenerate Congruence-modular Algebras Admitting a Reticulation
The reticulation L(R) of a commutative ring R was introduced by Joyal in 1975, then the theory was developed by Simmons in a remarkable paper published in 1980. L(R) is a bounded distributive algebra whose main property is that the Zariski prime
George Georgescu
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An exotic characterization of a commutative H*-algebra
Commutative H*-algebra is characterized in terms of the property that the orthogonal complement of a right ideal is a left ideal.
Parfeny P. Saworotnow
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