Modal stabilizability and spectral synthesis
More Algebraic Properties of Toeplitz Operators.
Multi-Dimensional Spectral Theory of Bounded Linear Operators in Locally Convex Spaces.
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...
Multifonctions analytiques polygonales
Multiple commutator estimates and resolvent smoothness in quantum scattering theory
Multiplicités des valeurs propres et transformations étoile-triangle des graphes
Multiplier algebras, Banach bundles, and one-parameter semigroups
New extended Weyl type theorems
Non-analytic local spectral properties in several variables
Nonhermitian systems and pseudospectra
Four applications are outlined of pseudospectra of highly nonnormal linear operators.
Non-trapping condition for semiclassical Schrödinger operators with matrix-valued potentials.
Norm continuity of -semigroups
We show that a positive semigroup on with generator A and ||R(α + i β)|| → 0 as |β| → ∞ for some α ∈ ℝ is continuous in the operator norm for t>0. The proof is based on a criterion for norm continuity in terms of “smoothing properties” of certain convolution operators on general Banach spaces and an extrapolation result for the -scale, which may be of independent interest.
Note on the spectral inclusion theorem for Toeplitz operators
Note to the paper by R. Hempel, A. M. Hinz, and H. Kalf: On the Essential Spectrum of Schrödinger Operators with Spherically Symmetric Potentials.
Notes on q-deformed operators
The paper concerns operators of deformed structure like q-normal and q-hyponormal operators with the deformation parameter q being a positive number different from 1. In particular, an example of a q-hyponormal operator with empty spectrum is given, and q-hyponormality is characterized in terms of some operator inequalities.
Notes on the Taylor joint spectrum of commuting operators
Numerical range preserving operators on a Banach algebra
O спектре операторов в идеальных пространствах
Obere Schranken für Eigenwerte von Eigenwertaufgaben der Form (...2 I Â?...A Â? B) x = 0 . - Upper Bounds for Eigenvalues of Quadratic Eigenvalue Problem.