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Journal of Spectral Theory, ISSN 1664-039X, 2018, Volume 8, Issue 1, pp. 1 - 32
Suppose A is a compact normal operator on a Hilbert space H with certain lacunarity condition on the spectrum (which means, in particular, that its eigenvalues... 
Rank one perturbation | Pólya peaks | Selfadjoint operator | Completeness of eigenvectors | ONE-DIMENSIONAL PERTURBATIONS | MATHEMATICS | rank one perturbation | completeness of eigenvectors | MATHEMATICS, APPLIED | Polya peaks
Journal Article
Israel Journal of Mathematics, ISSN 0021-2172, 1/2019, Volume 229, Issue 1, pp. 487 - 500
Avicou, Chalendar and Partington proved in 2015 [5] that an (unbounded) operator Af = G·f' on the classical Hardy space generates a C 0 semigroup of... 
Algebra | Analysis | Theoretical, Mathematical and Computational Physics | Mathematics, general | Mathematics | Group Theory and Generalizations | Applications of Mathematics | MATHEMATICS | SEMIGROUPS | HARDY | SPACES | Mathematics - Functional Analysis
Journal Article
Complex Analysis and Operator Theory, ISSN 1661-8254, 4/2019, Volume 13, Issue 3, pp. 1325 - 1360
Let T be a bounded linear operator on a Hilbert space H such that $$\begin{aligned} \alpha \left[ T^*,T\right] :=\sum _{n=0}^\infty \alpha _n T^{*n}T^n\ge 0,... 
Operator Theory | The Wiener algebra | Analysis | Similarity to a contraction | Dilation | Operator inequality | Mathematics, general | Mathematics | Functional model | MATHEMATICS | MATHEMATICS, APPLIED | Mathematics - Functional Analysis
Journal Article
Indiana University Mathematics Journal, ISSN 0022-2518, 1/2015, Volume 64, Issue 2, pp. 577 - 612
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 03/2017, Volume 447, Issue 1, pp. 109 - 127
Given a Hilbert space operator T, the level sets of function ΨT(z)=‖(T−z)−1‖−1 determine the so-called pseudospectra of T. We set ΨT to be zero on the spectrum... 
Approximation of spectra | Quasitriangular | Pseudospectra | Cowen–Douglas class | Nonnormal matrices | Finite section method | MATHEMATICS, APPLIED | Cowen-Douglas class | APPROXIMATION | SOLVABILITY COMPLEXITY INDEX | MATHEMATICS | RESOLVENT | SETS | NORM | SPECTRA | OPERATORS | Mathematics - Functional Analysis
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 07/2018, Volume 463, Issue 1, pp. 345 - 364
We give some new criteria for a Hilbert space operator with spectrum on a smooth curve to be similar to a normal operator, in terms of pointwise and integral... 
Normal operators | Resolvent estimates | Similarity | Pseudoanalytic continuation | TESTS | MATHEMATICS, APPLIED | SELF-ADJOINT | POLYNOMIALLY BOUNDED OPERATORS | WEAK CONTRACTION | MATHEMATICS | UNITARY | GROWTH | SETS | ISOMETRIES | Mathematics - Functional Analysis
Journal Article
Advances in Mathematics, ISSN 0001-8708, 10/2016, Volume 302, pp. 740 - 798
We study spectral properties of nonselfadjoint rank one perturbations of compact selfadjoint operators. The problems under consideration include completeness... 
Rank one perturbation | Selfadjoint operator | Spectral synthesis | Entire function | De Branges space | Inner function
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 04/2015, Volume 424, Issue 2, pp. 1404 - 1424
We study spectral properties of one-dimensional singular nonselfadjoint perturbations of an unbounded selfadjoint operator and give criteria for the... 
Singular rank one perturbation | Selfadjoint operator | Krein class | Entire function | Inner function | MATHEMATICS | MATHEMATICS, APPLIED | DE-BRANGES SPACES | EXTENSIONS | MAJORANTS | MODEL
Journal Article
Israel Journal of Mathematics, ISSN 0021-2172, 01/2019, Volume 229, Issue 1, p. 487
Avicou, Chalendar and Partington proved in 2015 [5] that an (unbounded) operator Af = G*f' on the classical Hardy space generates a C .sub.0 semigroup of... 
Mathematical research | Group theory | Banach spaces | Research | Operator theory
Journal Article
Journal of Functional Analysis, ISSN 0022-1236, 08/2017, Volume 273, Issue 3, pp. 984 - 1019
Let Φ be a family of functions analytic in some neighborhood of a complex domain Ω, and let T be a Hilbert space operator whose spectrum is contained in Ω‾.... 
Spectral sets and dilations | Algebra generation | Separation of singularities | Schur–Agler algebra | SURGERY | RIEMANN SURFACES | RATIONAL DILATION | INTERSECTIONS | MATHEMATICS | NUMERICAL RANGE | ALGEBRAS | Schur-Agler algebra | CONNECTED DOMAIN | HILBERT-SPACE | DIRICHLET | OPERATORS | Algebra
Journal Article
Journal Article
Linear Algebra and Its Applications, ISSN 0024-3795, 12/2013, Volume 439, Issue 11, pp. 3332 - 3358
Journal Article
The Journal of Physical Chemistry C, ISSN 1932-7447, 10/2017, Volume 121, Issue 40, pp. 22422 - 22433
Low operational stability is the main limiting factor for commercialization of the blue phosphorescent organic light emitting diodes (PhOLEDs). The high energy... 
MATERIALS SCIENCE, MULTIDISCIPLINARY | AB-INITIO | DEGRADATION MECHANISMS | CHEMICAL-STABILITY | CHARGE-TRANSPORT | CHEMISTRY, PHYSICAL | NANOSCIENCE & NANOTECHNOLOGY | SEMICONDUCTOR-DEVICES | LIGHT-EMITTING-DIODES | ORGANIC ELECTROLUMINESCENT DEVICES | PHOSPHINE-OXIDE | ENERGY-TRANSFER | ELECTRONIC-STRUCTURE
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 07/2013, Volume 403, Issue 2, pp. 464 - 476
This article analyzes Følner sequences of projections for bounded linear operators and their relationship to the class of finite operators introduced by... 
Finite operators | Essentially normal operators | C-algebras | Non-normal operators | Følner sequences | Quasinormal operators | Cuntz algebras | MATHEMATICS, APPLIED | GENERATORS | C-ASTERISK-ALGEBRAS | MATHEMATICS | WEIGHTED SHIFTS | Folner sequences | STAR-ALGEBRAS
Journal Article
Journal of the London Mathematical Society, ISSN 0024-6107, 04/2017, Volume 95, Issue 2, pp. 414 - 440
Given a complex domain Ω and analytic functions φ1,…,φn:Ω→D, we find geometric conditions allowing us to conclude that H∞(Ω) is generated by functions of the... 
46J15 (primary) | 30H50 | 46J30 (secondary) | MATHEMATICS | BOUNDED HOLOMORPHIC-FUNCTIONS | EXTENSION
Journal Article
Nagoya Mathematical Journal, ISSN 0027-7630, 2009, Volume 195, pp. 57 - 75
For a continuous, nonvanishing complex-valued function g oil the real line, several notions of a, mean winding number are introduced. We give necessary... 
ALMOST PERIODIC SYMBOLS | MATHEMATICS | COEFFICIENTS | SYSTEMS | ALGEBRAS | INTEGRAL-OPERATORS | 47A53 | 47B35 | 47G30
Journal Article