AbstractIn this paper, we characterize some operators and matrix transformations in the sequence spaces sα,sα0,sα(c),ℓαp. Moreover, using the Hausdorff measure of noncompactness necessary and sufficient conditions are formulated for a linear operator between the mentioned spaces to be compact. Among other things, some results of Cohen and Dunford are recovered
AbstractIn this paper the numerical range of operators (possibly unbounded) in an indefinite inner p...
AbstractLet A=(an,k)n,k⩾0 be a non-negative matrix. Denote by Lp,q(A) the supremum of those L satisf...
AbstractWe describe the set of all (α,n), for which the scalar complex matrix αIn is a sum of k idem...
AbstractLet μ be a complex Borel measure on the unit ball of Cn and α>−1. We characterize the measur...
AbstractIn this paper we will say that a sequence xk is λ, A-statistically convergent, if for every ...
AbstractFor 1⩽α<2, we consider the Toeplitz operator Tμ,α on Bloch-type space Bα(Bn) in the unit bal...
AbstractLet p>1 and let q denote the number such that (1/p)+(1/q)=1. We give a necessary condition f...
AbstractWe investigate the completeness, closure and minimalty of the multiplicity system M(Λ)={tkeλ...
AbstractLet L(X,Y) stand for the space of all bounded linear operators between real Banach spaces X ...
AbstractLet L(X,Y) stand for the space of all bounded linear operators between real Banach spaces (X...
AbstractLet 0<α≤∞ and let {B(x,ϵ)}ϵ, ϵ>0, denote a net of intervals of the form (x−ϵ,x+ϵ)⊂[0,α). Let...
AbstractA compact operator in a separable Hilbert space is of infinite order if it does not belong t...
AbstractWe give a characterization of uniform non-squareness of the ψ-direct sum of three Banach spa...
AbstractWe prove a bifurcation result for a perturbed sublinear elliptic problem defined on a compac...
Let 0 < p, q ≤ ∞, and ψ : [0, ∞) → [0, ∞) be a continuous, strictly increasing, subadditive function...
AbstractIn this paper the numerical range of operators (possibly unbounded) in an indefinite inner p...
AbstractLet A=(an,k)n,k⩾0 be a non-negative matrix. Denote by Lp,q(A) the supremum of those L satisf...
AbstractWe describe the set of all (α,n), for which the scalar complex matrix αIn is a sum of k idem...
AbstractLet μ be a complex Borel measure on the unit ball of Cn and α>−1. We characterize the measur...
AbstractIn this paper we will say that a sequence xk is λ, A-statistically convergent, if for every ...
AbstractFor 1⩽α<2, we consider the Toeplitz operator Tμ,α on Bloch-type space Bα(Bn) in the unit bal...
AbstractLet p>1 and let q denote the number such that (1/p)+(1/q)=1. We give a necessary condition f...
AbstractWe investigate the completeness, closure and minimalty of the multiplicity system M(Λ)={tkeλ...
AbstractLet L(X,Y) stand for the space of all bounded linear operators between real Banach spaces X ...
AbstractLet L(X,Y) stand for the space of all bounded linear operators between real Banach spaces (X...
AbstractLet 0<α≤∞ and let {B(x,ϵ)}ϵ, ϵ>0, denote a net of intervals of the form (x−ϵ,x+ϵ)⊂[0,α). Let...
AbstractA compact operator in a separable Hilbert space is of infinite order if it does not belong t...
AbstractWe give a characterization of uniform non-squareness of the ψ-direct sum of three Banach spa...
AbstractWe prove a bifurcation result for a perturbed sublinear elliptic problem defined on a compac...
Let 0 < p, q ≤ ∞, and ψ : [0, ∞) → [0, ∞) be a continuous, strictly increasing, subadditive function...
AbstractIn this paper the numerical range of operators (possibly unbounded) in an indefinite inner p...
AbstractLet A=(an,k)n,k⩾0 be a non-negative matrix. Denote by Lp,q(A) the supremum of those L satisf...
AbstractWe describe the set of all (α,n), for which the scalar complex matrix αIn is a sum of k idem...
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