AbstractLet X be a Banach space of dimension greater than 1. We prove that if a map δ:B(X)→B(X) satisfiesδ([A,B])=[δ(A),B]+[A,δ(B)] for any A,B∈B(X), then δ=D+τ, where D is an additive derivation of B(X) and the map τ:B(X)→FI vanishes at commutators [A,B]
AbstractIn this paper, we reconsider the problem discussed in [G.W. Chen, S.B. Wang, Small amplitude...
AbstractLet X and Y be Banach spaces and u be a continuous linear operator from X to Y. We prove tha...
AbstractFor aj,bj⩾1, j=1,2,…,d, we prove that the operator Kf(x)=∫R+dk(x,y)f(y)dy maps Lp(R+d) into ...
AbstractIn this paper, we prove that a bijective map φ form A, a standard operator algebra on a Bana...
International audienceLemma C.1 in [R. Veltz and O. Faugeras, SIAM J. Math. Anal., 45(3) (2013), pp....
In this note we give a short and self-contained proof that, for any δ > 0, ∑_(x≤n≤x+x^δ)λ(n) = o(x^δ...
AbstractLet A be an algebra and M be an A-bimodule. Let X be in A and δ:A→M be a linear map which sa...
AbstractLet ξ be an algebraic number and let α,β∈Q[ξ]. A closed formula for the coordinates of the p...
AbstractThe domain D(δ2) of the square of a closed ∗-derivation δ in C(K) (K is a compact Hausdorff ...
AbstractIn this paper, we establish the following conjecture: There exists a constant K such that ev...
AbstractLet X be a Banach space of dimension greater than 2. We prove that if δ:B(X)→B(X) is a linea...
summary:The Hahn--Banach theorem implies that if $m$ is a one dimensional subspace of a t.v.s. $E$, ...
AbstractWe describe the set of all (α,n), for which the scalar complex matrix αIn is a sum of k idem...
AbstractLet T be a triangular algebra over a commutative ring R. In this paper, under some mild cond...
AbstractFor Rd or Td, a strong converse inequality of type A (in the terminology of Ditzian and Ivan...
AbstractIn this paper, we reconsider the problem discussed in [G.W. Chen, S.B. Wang, Small amplitude...
AbstractLet X and Y be Banach spaces and u be a continuous linear operator from X to Y. We prove tha...
AbstractFor aj,bj⩾1, j=1,2,…,d, we prove that the operator Kf(x)=∫R+dk(x,y)f(y)dy maps Lp(R+d) into ...
AbstractIn this paper, we prove that a bijective map φ form A, a standard operator algebra on a Bana...
International audienceLemma C.1 in [R. Veltz and O. Faugeras, SIAM J. Math. Anal., 45(3) (2013), pp....
In this note we give a short and self-contained proof that, for any δ > 0, ∑_(x≤n≤x+x^δ)λ(n) = o(x^δ...
AbstractLet A be an algebra and M be an A-bimodule. Let X be in A and δ:A→M be a linear map which sa...
AbstractLet ξ be an algebraic number and let α,β∈Q[ξ]. A closed formula for the coordinates of the p...
AbstractThe domain D(δ2) of the square of a closed ∗-derivation δ in C(K) (K is a compact Hausdorff ...
AbstractIn this paper, we establish the following conjecture: There exists a constant K such that ev...
AbstractLet X be a Banach space of dimension greater than 2. We prove that if δ:B(X)→B(X) is a linea...
summary:The Hahn--Banach theorem implies that if $m$ is a one dimensional subspace of a t.v.s. $E$, ...
AbstractWe describe the set of all (α,n), for which the scalar complex matrix αIn is a sum of k idem...
AbstractLet T be a triangular algebra over a commutative ring R. In this paper, under some mild cond...
AbstractFor Rd or Td, a strong converse inequality of type A (in the terminology of Ditzian and Ivan...
AbstractIn this paper, we reconsider the problem discussed in [G.W. Chen, S.B. Wang, Small amplitude...
AbstractLet X and Y be Banach spaces and u be a continuous linear operator from X to Y. We prove tha...
AbstractFor aj,bj⩾1, j=1,2,…,d, we prove that the operator Kf(x)=∫R+dk(x,y)f(y)dy maps Lp(R+d) into ...
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