Displaying similar documents to “Approximation by Faber Polynomials for a Class of Jordan Domains.”

A 3G-Theorem for Jordan Domains in ℝ²

Lotfi Riahi (2004)

Colloquium Mathematicae

Similarity:

We prove a new 3G-Theorem for the Laplace Green function G on an arbitrary Jordan domain D in ℝ². This theorem extends the recent one proved on a Dini-smooth Jordan domain.

Distinguishing Jordan polynomials by means of a single Jordan-algebra norm

A. Moreno Galindo (1997)

Studia Mathematica

Similarity:

For = ℝ or ℂ we exhibit a Jordan-algebra norm ⎮·⎮ on the simple associative algebra M ∞ ( ) with the property that Jordan polynomials over are precisely those associative polynomials over which act ⎮·⎮-continuously on M ∞ ( ) . This analytic determination of Jordan polynomials improves the one recently obtained in [5].

Jordan superderivations and Jordan triple superderivations of superalgebras

He Yuan, Liangyun Chen (2016)

Colloquium Mathematicae

Similarity:

We study Jordan (θ,θ)-superderivations and Jordan triple (θ,θ)-superderivations of superalgebras, using the theory of functional identities in superalgebras. As a consequence, we prove that if A = A₀ ⊕ A₁ is a prime superalgebra with deg(A₁) ≥ 9, then Jordan superderivations and Jordan triple superderivations of A are superderivations of A, and generalized Jordan superderivations and generalized Jordan triple superderivations of A are generalized superderivations of A.

On Jordan mappings of inverse semirings

Sara Shafiq, Muhammad Aslam (2017)

Open Mathematics

Similarity:

In this paper, the notions of Jordan homomorphism and Jordan derivation of inverse semirings are introduced. A few results of Herstein and Brešar on Jordan homomorphisms and Jordan derivations of rings are generalized in the setting of inverse semirings.

Jordan polynomials can be analytically recognized

M. Cabrera Garcia, A. Moreno Galindo, A. Rodríguez Palacios, E. Zel'manov (1996)

Studia Mathematica

Similarity:

We prove that there exists a real or complex central simple associative algebra M with minimal one-sided ideals such that, for every non-Jordan associative polynomial p, a Jordan-algebra norm can be given on M in such a way that the action of p on M becomes discontinuous.