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

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

We study the Hodge–Dirac operators $${\mathscr {D}}$$ D associated with a class of non-symmetric Ornstein–Uhlenbeck operators $${\mathscr {L}}$$ L in infinite...

Heat kernel bounds | Davies–Gaffney estimates | 35L05 | Mathematics | Hodge–Dirac operator | 47A60 | C_0$$ C 0 -group | Finite speed of propagation | Mathematics, general | 42B37 | 60H15 | 47F05 | Ornstein–Uhlenbeck operator | group | MATHEMATICS, APPLIED | SPACES | Hodge-Dirac operator | EQUATIONS | C-0-group | Davies-Gaffney estimates | Ornstein-Uhlenbeck operator | MATHEMATICS | SEMIGROUPS | SQUARE-ROOT PROBLEM | REGULARITY | Research institutes

Heat kernel bounds | Davies–Gaffney estimates | 35L05 | Mathematics | Hodge–Dirac operator | 47A60 | C_0$$ C 0 -group | Finite speed of propagation | Mathematics, general | 42B37 | 60H15 | 47F05 | Ornstein–Uhlenbeck operator | group | MATHEMATICS, APPLIED | SPACES | Hodge-Dirac operator | EQUATIONS | C-0-group | Davies-Gaffney estimates | Ornstein-Uhlenbeck operator | MATHEMATICS | SEMIGROUPS | SQUARE-ROOT PROBLEM | REGULARITY | Research institutes

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

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

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

Revista Matemática Complutense, ISSN 1139-1138, 7/2011, Volume 24, Issue 2, pp. 421 - 438

In this paper we prove some existence and uniqueness results for pseudo almost automorphic and weighted pseudo almost automorphic solutions to a class of...

Pseudo almost automorphic | Invariant subspace | Hyperbolic semi-linear differential equations | Mathematics | Topology | Infinitesimal generator of C 0 -group | Geometry | Weighted pseudo almost automorphic | Algebra | 42A85 | 42A75 | Analysis | 44A35 | Mathematics, general | Applications of Mathematics | Infinitesimal generator of C | group | ALMOST-PERIODIC-SOLUTIONS | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | BANACH-SPACES | EVOLUTION-EQUATIONS | Infinitesimal generator of C-0-group

Pseudo almost automorphic | Invariant subspace | Hyperbolic semi-linear differential equations | Mathematics | Topology | Infinitesimal generator of C 0 -group | Geometry | Weighted pseudo almost automorphic | Algebra | 42A85 | 42A75 | Analysis | 44A35 | Mathematics, general | Applications of Mathematics | Infinitesimal generator of C | group | ALMOST-PERIODIC-SOLUTIONS | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | BANACH-SPACES | EVOLUTION-EQUATIONS | Infinitesimal generator of C-0-group

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

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

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

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

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

The paper provides new characterisations of generators of cosine functions and C 0-groups on UMD spaces and their applications to some classical problems in...

Primary 47D06 | Secondary 47A10 | Gearhart’s theorem | Cosine function | Analysis | Mathematics | Fattorini’s theorem | C 0 -group | Functional calculus | Gearhart's theorem | H-INFINITY-CALCULUS | MATHEMATICS, APPLIED | UMD-SPACES | PERTURBATION THEOREM | C-0-group | MATHEMATICS | SEMIGROUPS | ORDINARY DIFFERENTIAL EQUATIONS | NUMERICAL RANGE | LAPLACE TRANSFORM | BANACH-SPACES | Fattorini's theorem | HILBERT-SPACE | OPERATORS

Primary 47D06 | Secondary 47A10 | Gearhart’s theorem | Cosine function | Analysis | Mathematics | Fattorini’s theorem | C 0 -group | Functional calculus | Gearhart's theorem | H-INFINITY-CALCULUS | MATHEMATICS, APPLIED | UMD-SPACES | PERTURBATION THEOREM | C-0-group | MATHEMATICS | SEMIGROUPS | ORDINARY DIFFERENTIAL EQUATIONS | NUMERICAL RANGE | LAPLACE TRANSFORM | BANACH-SPACES | Fattorini's theorem | HILBERT-SPACE | OPERATORS

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

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

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

The duals of C_{0}(a, b) and C[a, b] with respect to disjointness preserving groups are characterized. A. Plessner's result (1929) about the translation group...

Mathematical theorems | Homeomorphism | Mathematical lattices | Continuous production | Linear transformations | Semigroups | Increasing functions | Borel measures | Continuous functions | Group dual | Disjointness preserving operator | Co-group | Cocycle | Flow | MATHEMATICS | MATHEMATICS, APPLIED | disjointness preserving operator | cocycle | K PQ MATHEMATICS | K PN MATHEMATICS, APPLIED | C-0-group | flow | group dual

Mathematical theorems | Homeomorphism | Mathematical lattices | Continuous production | Linear transformations | Semigroups | Increasing functions | Borel measures | Continuous functions | Group dual | Disjointness preserving operator | Co-group | Cocycle | Flow | MATHEMATICS | MATHEMATICS, APPLIED | disjointness preserving operator | cocycle | K PQ MATHEMATICS | K PN MATHEMATICS, APPLIED | C-0-group | flow | group dual

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

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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