Results 51 to 60 of about 528 (95)

Ideal-triangularizability and commutators of constant sign

, 2016
Let E be a Banach lattice with order continuous norm, and let A and B be positive compact operators such that the commutator AB−BA is also positive. We prove that if A and B are ideal-triangularizable, then they are simultaneously ideal-triangularizable,
R. Drnovšek, M. Kandić
semanticscholar   +1 more source

On Quasi-Normality of Two-Sided Multiplication [PDF]

, 2009
2000 Mathematics Subject Classification: 47B47, 47B10, 47A30.In this note, we characterize quasi-normality of two-sided multiplication, restricted to a norm ideal and we extend this result, to an important class which contains all quasi-normal operators.
Amouch, M.
core  

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

Approximate *-derivations and approximate quadratic *-derivations on C*-algebras

, 2011
In this paper, we prove the stability of *-derivations and of quadratic *-derivations on Banach *-algebras. We moreover prove the superstability of *-derivations and of quadratic *-derivations on C*-algebras.2000 Mathematics Subject Classification: 39B52;
S. Jang, Choonkill Park
semanticscholar   +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

Approximate *-derivations and approximate quadratic *-derivations on C*-algebras

Journal of Inequalities and Applications, 2011
In this paper, we prove the stability of *-derivations and of quadratic *-derivations on Banach *-algebras. We moreover prove the superstability of *-derivations and of quadratic *-derivations on C*-algebras.
Park Choonkil, Jang Sun
doaj  

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

Random homomorphisms and random derivations in random normed algebras via fixed point method

, 2012
Using the fixed point method, we prove the Hyers-Ulam stability of the Cauchy additive functional inequality and of the Cauchy-Jensen additive functional inequality in random normed spaces.MSC:47H10, 39B52, 37H10, 60H25, 17B40, 39B72, 47B47, 54E70.
Choonkill Park, M. Eshaghi Gordji, R. Saadati   +2 more
semanticscholar   +1 more source

Combined system of additive functional equations in Banach algebras

Open Mathematics
In 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