AbstractIn this paper, we prove the converse of a well known result in the field of the numerical range. In fact, we show that for a matrix A∈Mn, if the inclusion σ(AB)⊆W(A)W(B) holds for all matrices B∈Mn, then A is a scalar multiple of a positive semidefinite matrix
International audienceWe obtain several norm and eigenvalue inequalities for positive matrices parti...
AbstractIn an earlier paper, the author developed a formula for the trace class multiplier norm of a...
AbstractLet γ1,…,γn be complex constants. The set W(γ1,…,γn)(A) = {Σγj(Axj, xj)},where (x1,…,xn) var...
AbstractIn this paper, we prove the converse of a well known result in the field of the numerical ra...
We study the relationship between operators and their numerical ranges. The main results are as foll...
We study the relationship between operators and their numerical ranges. The main results are as foll...
We study the relationship between operators and their numerical ranges. The main results are as foll...
Abstract. We show that a compact operator A is a multiple of a positive semi-definite operator if an...
The numerical range of a matrix is studied geometrically via the cone of positive semidefinite matri...
AbstractLet Wk(A) denote the k-numerical range of an n × n matrix A. It is known that Wi(A) ⊂ Wj(A) ...
Let R be a proper subset of the complex plane, and let SR be the set of n × n complex matrices A suc...
AbstractThis paper is, in a sense. a continuation of the author's previous paper on the numerical ra...
International audienceWe obtain several norm and eigenvalue inequalities for positive matrices parti...
International audienceWe obtain several norm and eigenvalue inequalities for positive matrices parti...
International audienceWe obtain several norm and eigenvalue inequalities for positive matrices parti...
International audienceWe obtain several norm and eigenvalue inequalities for positive matrices parti...
AbstractIn an earlier paper, the author developed a formula for the trace class multiplier norm of a...
AbstractLet γ1,…,γn be complex constants. The set W(γ1,…,γn)(A) = {Σγj(Axj, xj)},where (x1,…,xn) var...
AbstractIn this paper, we prove the converse of a well known result in the field of the numerical ra...
We study the relationship between operators and their numerical ranges. The main results are as foll...
We study the relationship between operators and their numerical ranges. The main results are as foll...
We study the relationship between operators and their numerical ranges. The main results are as foll...
Abstract. We show that a compact operator A is a multiple of a positive semi-definite operator if an...
The numerical range of a matrix is studied geometrically via the cone of positive semidefinite matri...
AbstractLet Wk(A) denote the k-numerical range of an n × n matrix A. It is known that Wi(A) ⊂ Wj(A) ...
Let R be a proper subset of the complex plane, and let SR be the set of n × n complex matrices A suc...
AbstractThis paper is, in a sense. a continuation of the author's previous paper on the numerical ra...
International audienceWe obtain several norm and eigenvalue inequalities for positive matrices parti...
International audienceWe obtain several norm and eigenvalue inequalities for positive matrices parti...
International audienceWe obtain several norm and eigenvalue inequalities for positive matrices parti...
International audienceWe obtain several norm and eigenvalue inequalities for positive matrices parti...
AbstractIn an earlier paper, the author developed a formula for the trace class multiplier norm of a...
AbstractLet γ1,…,γn be complex constants. The set W(γ1,…,γn)(A) = {Σγj(Axj, xj)},where (x1,…,xn) var...
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