Wyniki wyszukiwania - BazTech

Ograniczanie wyników

6 Demonstratio Mathematica

Powiadomienia systemowe

Sesja wygasła!

Znaleziono wyników: 6

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: pochodne Jordana

Sortuj według:

Ogranicz wyniki do:

New class of operators where the distance between the identity operator and the generalized Jordan ∗-derivation range is maximal

Messaoudene Hadia, Mesbah Nadia

Demonstratio Mathematica

2021

Vol. 54, nr 1

311--317

A new class of operators, larger than ∗ -finite operators, named generalized ∗ -finite operators and noted by GF∗ (H) is introduced, where: GF∗ (H) = {(A, B) ∈ B(H) × B(H) : ∥TA - BT∗ - λI∥ ≥ ∣λ∣, ∀λ ∈ C, ∀T ∈ B(H)}. Basic properties are given. Some examples are also presented.

On derivations of operator algebras with involution

Širovnik N., Vukman J.

Demonstratio Mathematica

2014

Vol. 47, nr 4

784--790

The purpose of this paper is to prove the following result. Let X be a complex Hilbert space, let L(X) be an algebra of all bounded linear operators on X and let A(X) (…) L(X) be a standard operator algebra, which is closed under the adjoint operation. Suppose there exists a linear mapping D : A(X) → L(X) satisfying the relation 2D(AA*A) = D(AA*)A + AA*D(A) + D(A)A*A + AD(A*A) for all A (…) A(X). In this case, D is of the form D(A) = [A,B] for all A (…) A(X) and some fixed B (…) L(X), which means that D is a derivation.

On (m, n)-Jordan derivations and commutativity of prime rings

Vukman J.

Demonstratio Mathematica

2008

Vol. 41, nr 4

773-778

Generalized Jordan derivations on semiprime rings

Wei F., Xiao Z.

Demonstratio Mathematica

2007

Vol. 40, nr 4

789-798

It is shown that, given a 2-torsion-free semiprime ring with unit e, every generalized Jordan derivation on R is a generalized derivation. Let n be a fixed positive integer, R be a noncommutative (n+1)!-torsion-free prime ring with the center CR. It is proved that, if [..]: R -> R is a generalized Jordan derivation of R such that [..](x)xn + x [...].

On some equations related to derivations in rings and Banach algebras

Vukman J., Kosi-Ulbl I.

Demonstratio Mathematica

2006

Vol. 39, nr 1

61-66

The main purpose of this paper is to investigate additive mapping D : R -> R, where R is a (m + n +1)! and \m2 + n2 - m - n - 4mn\ -torsion free semiprime ring with the identity element, satisfying the relation 2D(xm+n+l) = (m+-n+1)(xmD(x)xn +-xnD(x)xm), for all is an element of R and some integers m > 1, n > 1, m2 + n2 - m - n - 4mn /=0.

On Jordan ideals and Jordan derivations of prime rings

Ashrat M., Rehman N.

Demonstratio Mathematica

2004

Vol. 37, nr 3

517--523

Let R be a 2-torsion free prime ring, and let J be a nonzero Jordan ideal and a subring of R. In the present paper it is shown that if d is an additive mapping of R into itself satisfying d(u2) = d(u)u + ud(u), for all u 6 J, then d(uv) = d(u)v + ud(v), for all u, v J.