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Journal of Functional Analysis, ISSN 0022-1236, 02/2017, Volume 272, Issue 3, pp. 1017 - 1043
Some special Hilbert spaces are introduced to present the class of infinitesimal operators with complete minimal non-basis family of eigenvectors. The discrete... 
Hardy inequality | [formula omitted]-group | Riesz basis | Symmetric basis | group | HILBERT | MATHEMATICS | THEOREM | SPACES | STRONGLY CONTINUOUS-GROUPS | C-0-group | Equality
Journal Article
Annali di Matematica Pura ed Applicata (1923 -), ISSN 0373-3114, 12/2016, Volume 195, Issue 6, pp. 1889 - 1915
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2009, Volume 357, Issue 1, pp. 273 - 283
Let T = { T ( t ) } t ∈ R be a C 0 -group on a complex Banach space X dominated by a weight function ω ( t ) = ( 1 + | t | ) α ( 0 ⩽ α < 1 ) and let A be its... 
Beurling spectrum | [formula omitted]-group | Bernstein inequality | Local spectrum | [formula omitted]-space | MATHEMATICS | MATHEMATICS, APPLIED | L-p-space | C-0-group
Journal Article
SIAM Journal on Control and Optimization, ISSN 0363-0129, 2005, Volume 43, Issue 4, pp. 1234 - 1252
This paper gives an abstract sufficient condition on Riesz basis with parentheses property for the generators of C-0-groups in Hilbert spaces whose eigenvalues... 
String equation | Completeness | Riesz basis | group | Function of exponentials | MATHEMATICS, APPLIED | BASIS PROPERTY | EQUATIONS | string equation | completeness | C-0-group | function of exponentials | AUTOMATION & CONTROL SYSTEMS
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2008, Volume 342, Issue 2, pp. 1038 - 1051
We show in this paper that the C 0 -groups governing neutron transport equations with reflecting boundary conditions in slab geometry satisfy a weak spectral... 
Interpolation | Weak spectral mapping theorem | [formula omitted]-group | Transport theory | transport theory | MATHEMATICS | SEMIGROUPS | MATHEMATICS, APPLIED | interpolation | BOUNDARY-CONDITIONS | SPACES | C-0-group | STREAMING OPERATORS | TRACE THEOREMS | weak spectral mapping theorem
Journal Article
Semigroup Forum, ISSN 0037-1912, 3/2009, Volume 78, Issue 2, pp. 285 - 292
The “Volterra relation” is the commutation relation [S,V]⊂V 2, where S is a not necessarily bounded operator, V is a bounded operator leaving D(S) invariant,... 
Lie product | Spectral operator | Similarity orbit | Algebra | Banach algebra | C 0 -group of operators | Similarity | Scalar-type | Volterra relation | Mathematics | Perturbation | group of operators | MATHEMATICS | PERTURBATIONS | CK-CLASSIFICATION | C-0-group of operators
Journal Article
Proceedings of the American Mathematical Society, ISSN 0002-9939, 03/2002, Volume 130, Issue 3, pp. 675 - 681
We show that a new notion of a spectrum of a function u\in L^\infty({\mathbb R}_+,X) (X is a Banach space), defined by B. Basit and the first author, coincides... 
Ergodic theory | Chills | Mathematical theorems | Periodic functions | Spectral theory | Semigroups | Harmonic analysis | Spectroscopic analysis | Banach space | Overtone series | Tauberian theorem | Fourier transform | Spectrum of a function | Arveson spectrum | group | MATHEMATICS | MATHEMATICS, APPLIED | CAUCHY-PROBLEMS | ALMOST-PERIODIC SOLUTIONS | C-0-group | tauberian theorem
Journal Article
STUDIA MATHEMATICA, ISSN 0039-3223, 2009, Volume 193, Issue 1, pp. 29 - 52
In the previous paper, we have characterized (joint) subnormality of a C-0-semigroup of composition operators on L-2-space by positive definiteness of the... 
MATHEMATICS | SEMIGROUPS | C-0-semigroup | QUASINORMAL COMPOSITION OPERATORS | subnormal operator | joint subnormality | C-0-group | composition operator on L-2-space
Journal Article
Journal of Evolution Equations, ISSN 1424-3199, 6/2013, Volume 13, Issue 2, pp. 281 - 309
Journal Article
SEMIGROUP FORUM, ISSN 0037-1912, 03/2003, Volume 66, Issue 2, pp. 288 - 304
We give necessary and sufficient conditions for an operator A on a Hilbert space to have a bounded H-infinity -calculus on a vertical strip symmetric to the... 
MATHEMATICS | H-infinity -calculus | STRONGLY CONTINUOUS-GROUPS | C-0-group
Journal Article
2010 4th International Conference on Bioinformatics and Biomedical Engineering, ISSN 2151-7614, 06/2010, pp. 1 - 7
In this paper, we study the solution to a labelled cell population system with variable coefficients and then investigate the expansion of the solution to the... 
Strips | Automation | Eigenvalues and eigenfunctions | Mathematics | Hilbert space | Kinetic theory | Mathematical model | Steel | Neoplasms | Spectral analysis | C-0-group | Riesz basis | Solution | Cell populations system | Spectrum
Conference Proceeding
Proceedings of the American Mathematical Society, ISSN 0002-9939, 09/1997, Volume 125, Issue 9, pp. 2571 - 2579
Journal Article
Proceedings of the American Mathematical Society, ISSN 0002-9939, 04/2002, Volume 130, Issue 4, pp. 1197 - 1206
In this paper we shall give some results on a C_0-group generated by the Lévy Laplacian and operators approximating that group in the space \mathcal{... 
MATHEMATICS | MATHEMATICS, APPLIED | CAUCHY-PROBLEMS | ITO FORMULA | CALCULUS | TERMS | the Levy Laplacian | GAUSSIAN WHITE NOISE | C-0-group | white noise analysis | FUNCTIONALS
Journal Article
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