Results 41 to 50 of about 455 (108)
Obtaining Leibniz's rule for derivations in its most general form [PDF]
arXiv, 2022 The main purpose of this paper is to obtain Leibniz's rule for generalized types of derivations via Newton's binomial formula. In fact, we provide a short formula to calculate the nth power of any kind of derivations.
arxiv
Fuglede-Putnam's theorem for w-hyponormal operators
, 2012 An asymmetric Fuglede-Putnam’s Theorem for w -hyponormal operators and dominant operators is proved, as a consequence of this result, we obtain that the range of the generalized derivation induced by the above classes of operators is orthogonal to its ...
A. Bachir, F. Lombarkia
semanticscholar +1 more source
A Note on Skew Derivations and Antiautomorphisms of Prime Rings
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this article, we investigate the behavior of a prime ring which admits a skew derivation satisfying certain functional identities involving an antiautomorphism. We employ tools such as generalized identities and commutativity‐preserving maps to analyze these rings.
Faez A. Alqarni +5 more
wiley +1 more source
New conditions for positivity of operators in non-unital C*-algebras
, 2015 In this note, we present new conditions for positivity of operators in non-unital C*algebras.
R. Obogi, N. B. Okelo, O. Ongati
semanticscholar +2 more sources
Fractional type Marcinkiewicz integrals over non-homogeneous metric measure spaces
Journal of Inequalities and Applications, 2016 The main goal of the paper is to establish the boundedness of the fractional type Marcinkiewicz integral M β , ρ , q $\mathcal{M}_{\beta,\rho,q}$ on non-homogeneous metric measure space which includes the upper doubling and the geometrically doubling ...
Guanghui Lu, Shuangping Tao
doaj +1 more source
On (m, P)-expansive operators: products, perturbation by nilpotents, Drazin invertibility
Concrete Operators, 2021 A generalisation of m-expansive Hilbert space operators T ∈ B(ℋ) [18, 20] to Banach space operators T ∈ B(𝒳) is obtained by defining that a pair of operators A, B ∈ B(𝒳) is (m, P)-expansive for some operator P ∈ B(𝒳) if Δ A,Bm(P)= (I-LARB)m(P)=∑j=0m(-1)j(
Duggal B.P.
doaj +1 more source
Characterizations of derivations on spaces of smooth functions [PDF]
arXiv, 2022 We provide a list of equivalent conditions under which an additive operator acting on a space of smooth functions on a compact real interval is a multiple of the derivation.
arxiv
Hyers-Ulam-Rassias Stability of Generalized Derivations [PDF]
Intern. J. Math. Math. Sci., 2006 (2006), 93942, 1--8, 2005 The generalized Hyers--Ulam--Rassias stability of generalized derivations on unital Banach algebras into Banach bimodules is established.
arxiv +1 more source
Combined system of additive functional equations in Banach algebras
Open MathematicsIn this study, we solve the system of additive functional equations: h(x+y)=h(x)+h(y),g(x+y)=f(x)+f(y),2fx+y2=g(x)+g(y),\left\{\begin{array}{l}h\left(x+y)=h\left(x)+h(y),\\ g\left(x+y)=f\left(x)+f(y),\\ 2f\left(\frac{x+y}{2}\right)=g\left(x)+g(y),\end ...
Donganont Siriluk, Park Choonkil
doaj +1 more source
Left Derivable Maps at Non-Trivial Idempotents on Nest Algebras
Annales Mathematicae Silesianae, 2019 Let Alg 𝒩 be a nest algebra associated with the nest 𝒩 on a (real or complex) Banach space 𝕏. Suppose that there exists a non-trivial idempotent P ∈ Alg 𝒩 with range P (𝕏) ∈ 𝒩, and δ : Alg 𝒩 → Alg 𝒩 is a continuous linear mapping (generalized) left ...
Ghahramani Hoger, Sattari Saman
doaj +1 more source