An evaluating characterization of homomorphisms

Karim Boulabiar

Displaying similar documents to “An evaluating characterization of homomorphisms”

Observations on quasi-linear partial differential equations

Piotr Besala (1991)

Annales Polonici Mathematici

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König-Witstock quasi-norms on quasi-Banach spaces.

Jesús M. Fernández Castillo, Yolanda Moreno (2002)

Extracta Mathematicae

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On quasi $\tilde{g} s$ -open and quasi $\tilde{g} s$ -closed functions.

Rajesh, N., E.Ekici (2008)

Bulletin of the Malaysian Mathematical Sciences Society. Second Series

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Quasi-linear maps

D. J. Grubb (2008)

Fundamenta Mathematicae

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A quasi-linear map from a continuous function space C(X) is one which is linear on each singly generated subalgebra. We show that the collection of quasi-linear functionals has a Banach space pre-dual with a natural order. We then investigate quasi-linear maps between two continuous function spaces, classifying them in terms of generalized image transformations.

On algebras with a quasi-involution

B. Gleichgewicht (1962)

Colloquium Mathematicae

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Commutative quasi-trivial superassociative systems

H. Länger (1980)

Fundamenta Mathematicae

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Quasi-inverses of morphisms

Roman Sikorski (1974)

Fundamenta Mathematicae

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Quasi-constants in general algebras

Kazimierz Głazek, Anzelm Iwanik (1974)

Colloquium Mathematicum

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Linear maps preserving quasi-commutativity

Heydar Radjavi, Peter Šemrl (2008)

Studia Mathematica

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Let X and Y be Banach spaces and ℬ(X) and ℬ(Y) the algebras of all bounded linear operators on X and Y, respectively. We say that A,B ∈ ℬ(X) quasi-commute if there exists a nonzero scalar ω such that AB = ωBA. We characterize bijective linear maps ϕ : ℬ(X) → ℬ(Y) preserving quasi-commutativity. In fact, such a characterization can be proved for much more general algebras. In the finite-dimensional case the same result can be obtained without the bijectivity assumption.

Some seminorms on quasi *-algebras

Camillo Trapani (2003)

Studia Mathematica

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Different types of seminorms on a quasi *-algebra (𝔄,𝔄₀) are constructed from a suitable family ℱ of sesquilinear forms on 𝔄. Two particular classes, extended C*-seminorms and CQ*-seminorms, are studied in some detail. A necessary and sufficient condition for the admissibility of a sesquilinear form in terms of extended C*-seminorms on (𝔄,𝔄₀) is given.