Matrix order in Bohr inequality for operators.
Means and Concave Products of Positive Semi-Definite Matrices.
Means and convex combinations of unitary operators.
Means of Positive Linear Operators.
Möbius transformations and monogenic functional calculus.
Modal stabilizability and spectral synthesis
Multidimensional weak resolvents and spatial equivalence of normal operators
The aim of this paper is to answer some questions concerning weak resolvents. Firstly, we investigate the domain of extension of weak resolvents Ω and find a formula linking Ω with the Taylor spectrum. We also show that equality of weak resolvents of operator tuples A and B results in isomorphism of the algebras generated by these operators. Although this isomorphism need not be of the form (1) X ↦ U*XU, where U is an isometry, for normal operators it is always possible...
Multiplicity theory