Add to ORKGAbstract. Let Fn, n > 2, be the free group on n generators, denoted by U1,U2, . . . ,Un. Let C¤(Fn) be the full C¤-algebra of Fn. Let X be the vector subspace of the algebraic tensor product C(Fn) C¤(Fn), spannedby 1 1,U1 1, . . . ,Un 1, 1 U1, . . . , 1 Un. Let k · kmin and k · kmax be the minimal and maximal C¤ tensor norms on C¤(Fn)C¤(Fn), and use the same notation for the corresponding (matrix) norms induced on Mk(C)X, k 2 N. Identifying X with the subspace of C¤(F2n) obtained by mapping U1 1, . . . , 1Un into the 2n generators and the identity into the identity, we get a matrix norm k · kC¤(F2n) which dominates the k · kmax norm on Mk(C)X. In this paper we prove that, with N = 2n + 1 = dimX, we have kXkmax 6 kX...
AbstractLet Ai be a family of unital C⁎-algebras, respectively, of von Neumann algebras and ϕ:N0→C. ...
AbstractIn this paper, we prove that the moduli of W∗-convexity, introduced by Ji Gao [J. Gao, The W...
AbstractLet X,Y be vector spaces. It is shown that if an odd mapping f:X→Y satisfies the functional ...
Abstract. Let Fn, n > 2, be the free group on n generators, denoted by U1,U2, . . . ,Un. Let C¤(Fn) ...
AbstractSharp upper estimates for the norm of the weighted elementary operator of the form ∑n=1∞CnZn...
In their recent paper "The spectral norm of a Horadam circulant matrix", Merikoski, Haukkanen, Matti...
AbstractIn 1985, Elsner proved that the Hausdorff distance Δ between the spectra of two n×n matrices...
In this paper we introduce the hypo-q-norms on a Cartesian product of algebras of bounded linear ope...
AbstractGiven Mikhlin–Hörmander multipliers mi,i=1,…,N, with uniform estimates we prove an optimal l...
Abstract. We present partial positive results supporting a conjecture that admitting an equivalent L...
AbstractDenote by Πn+m−12≔{∑0≤i+j≤n+m−1ci,jxiyj:ci,j∈R} the space of polynomials of two variables wi...
For A ∈ L(X, Y ), B ∈ L(Z , T ) we consider the operator h : L(Y, Z ) →L(X, T ), h(U ) = BU A.We pro...
AbstractWe establish lower bounds for norms and CB-norms of elementary operators on B(H). Our main r...
AbstractNew lower bounds are given for the sum of degrees of simple and distinct irreducible factors...
AbstractLet Πn+m−1d denote the set of polynomials in d variables of total degree less than or equal ...
AbstractLet Ai be a family of unital C⁎-algebras, respectively, of von Neumann algebras and ϕ:N0→C. ...
AbstractIn this paper, we prove that the moduli of W∗-convexity, introduced by Ji Gao [J. Gao, The W...
AbstractLet X,Y be vector spaces. It is shown that if an odd mapping f:X→Y satisfies the functional ...
Abstract. Let Fn, n > 2, be the free group on n generators, denoted by U1,U2, . . . ,Un. Let C¤(Fn) ...
AbstractSharp upper estimates for the norm of the weighted elementary operator of the form ∑n=1∞CnZn...
In their recent paper "The spectral norm of a Horadam circulant matrix", Merikoski, Haukkanen, Matti...
AbstractIn 1985, Elsner proved that the Hausdorff distance Δ between the spectra of two n×n matrices...
In this paper we introduce the hypo-q-norms on a Cartesian product of algebras of bounded linear ope...
AbstractGiven Mikhlin–Hörmander multipliers mi,i=1,…,N, with uniform estimates we prove an optimal l...
Abstract. We present partial positive results supporting a conjecture that admitting an equivalent L...
AbstractDenote by Πn+m−12≔{∑0≤i+j≤n+m−1ci,jxiyj:ci,j∈R} the space of polynomials of two variables wi...
For A ∈ L(X, Y ), B ∈ L(Z , T ) we consider the operator h : L(Y, Z ) →L(X, T ), h(U ) = BU A.We pro...
AbstractWe establish lower bounds for norms and CB-norms of elementary operators on B(H). Our main r...
AbstractNew lower bounds are given for the sum of degrees of simple and distinct irreducible factors...
AbstractLet Πn+m−1d denote the set of polynomials in d variables of total degree less than or equal ...
AbstractLet Ai be a family of unital C⁎-algebras, respectively, of von Neumann algebras and ϕ:N0→C. ...
AbstractIn this paper, we prove that the moduli of W∗-convexity, introduced by Ji Gao [J. Gao, The W...
AbstractLet X,Y be vector spaces. It is shown that if an odd mapping f:X→Y satisfies the functional ...