The block numerical range (BNR) of a block operator matrix is a generalization of the numerical range of an operator acting on a Hilbert space. Main topics of this thesis are block diagonalizability of a block operator matrix if its BNR consists of the maximal number of connected components and spectral properties of corners of BNRs of block operator matrices and block operator functions
We study the relationship between operators and their numerical ranges. The main results are as foll...
Let V = B(H) or S(H), where B(H) is the algebra of bounded linear operator acting on the Hilbert spa...
International audienceWe obtain several norm and eigenvalue inequalities for positive matrices parti...
The block numerical range (BNR) of a block operator matrix is a generalization of the numerical rang...
We introduce the block numerical range Wn(L) of an operator function L with respect to a decompositi...
AbstractIn this paper a new concept for 2×2-block operator matrices – the quadratic numerical range ...
The spatial numerical range of an operator on a normed linear space and the algebra numerical range ...
The numerical index of a Banach space is a constant relating the norm and the numerical range of ope...
Abstract. This is an introduction to the notion of numerical range for bounded linear operators on H...
The authors develop various applications, in particular to the study of Banach algebras where the nu...
For a bounded linear operator A (or, in the finite dimensional setting, an n-by-n matrix A) its clas...
Three lectures are going to be given on numerical ranges of operators, Banach spaces with numerical ...
The numerical index of a Banach space is a constant relating the norm and the numerical range of ope...
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...
Let V = B(H) or S(H), where B(H) is the algebra of bounded linear operator acting on the Hilbert spa...
International audienceWe obtain several norm and eigenvalue inequalities for positive matrices parti...
The block numerical range (BNR) of a block operator matrix is a generalization of the numerical rang...
We introduce the block numerical range Wn(L) of an operator function L with respect to a decompositi...
AbstractIn this paper a new concept for 2×2-block operator matrices – the quadratic numerical range ...
The spatial numerical range of an operator on a normed linear space and the algebra numerical range ...
The numerical index of a Banach space is a constant relating the norm and the numerical range of ope...
Abstract. This is an introduction to the notion of numerical range for bounded linear operators on H...
The authors develop various applications, in particular to the study of Banach algebras where the nu...
For a bounded linear operator A (or, in the finite dimensional setting, an n-by-n matrix A) its clas...
Three lectures are going to be given on numerical ranges of operators, Banach spaces with numerical ...
The numerical index of a Banach space is a constant relating the norm and the numerical range of ope...
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...
Let V = B(H) or S(H), where B(H) is the algebra of bounded linear operator acting on the Hilbert spa...
International audienceWe obtain several norm and eigenvalue inequalities for positive matrices parti...