Results 11 to 20 of about 73 (67)
Ornstein-Uhlenbeck processes in Banach spaces and their spectral representations. [PDF]
, 2002 For Q the variance of some centred Gaussian random vector in a separable Banach space it is shown that, necessarily, Q factors through $\ell^2$ as a product of 2-summing operators.
James S. Groves, Groves, James S.
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On the decoupled Markov group conjecture
Bulletin of the London Mathematical Society, Volume 53, Issue 1, Page 240-247, February 2021., 2021 Abstract The Markov group conjecture, a long‐standing open problem in the theory of Markov processes with countable state space, asserts that a strongly continuous Markov semigroup T=(Tt)t∈[0,∞) on ℓ1 has bounded generator if the operator T1 is bijective. Attempts to disprove the conjecture have often aimed at glueing together finite‐dimensional matrix
Jochen Glück
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Optimal decay rates for the acoustic wave motions with boundary memory damping
, 2020 A linear wave equation with acoustic boundary conditions (ABC) on a portion of the boundary and Dirichlet conditions on the rest of the boundary is considered.
BENOMAR, Khalida, BENAISSA, Abbes
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On a higher‐order evolution equation with a Stepanov‐bounded solution
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 72, Page 3959-3964, 2004., 2004 We study strong solutions u : ℝ → X, a Banach space X, of the nth‐order evolution equation u(n) − Au(n−1) = f, an infinitesimal generator of a strongly continuous group A : D(A)⊆X → X, and a given forcing term f : ℝ → X. It is shown that if X is reflexive, u and u(n−1) are Stepanov‐bounded, and f is Stepanov almost periodic, then u and all derivatives ...
Aribindi Satyanarayan Rao
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International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 45, Page 2401-2422, 2004., 2004 Necessary and sufficient conditions for a scalar type spectral operator in a Banach space to be a generator of an infinite differentiable or a Gevrey ultradifferentiable C0‐semigroup are found, the latter formulated exclusively in terms of the operator′s spectrum.
Marat V. Markin
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Laplace transform generation theorems and local Cauchy problems
Abstract and Applied Analysis, Volume 2004, Issue 1, Page 69-90, 2004., 2004 We give new criterions to decide if some vector‐valued function is a local Laplace transform and apply this to the theory of local Cauchy problems. This leads to an improvement of known results and new Hille‐Yosida‐type theorems for local convoluted semigroups.
Claus Müller
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Fractional powers approach of operators for abstract evolution equations of third order in time [PDF]
, 2020 In this work we study third order linear evolution equations in time, in the sense of theory of strongly continuous one-parameter semigroups, and approximations them of fractional order via theory of the fractional powers of closed and densely de ned ...
Santos, Lucas Araújo
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Abstract and Applied Analysis, Volume 2004, Issue 12, Page 1007-1018, 2004., 2004 In the class of scalar type spectral operators in a complex Banach space, a characterization of the generators of analytic C0‐semigroups in terms of the analytic vectors of the operators is found.
Marat V. Markin
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Remarks on embeddable semigroups in groups and a generalization of some Cuthbert′s results
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 22, Page 1421-1431, 2003., 2003 Let (U(t)) t≥0 be a C0‐semigroup of bounded linear operators on a Banach space X. In this paper, we establish that if, for some t0 > 0, U(t0) is a Fredholm (resp., semi‐Fredholm) operator, then (U(t)) t≥0 is a Fredholm (resp., semi‐Fredholm) semigroup.
Khalid Latrach, Abdelkader Dehici
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Spectral inclusions and stability results for strongly continuous semigroups
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 37, Page 2379-2387, 2003., 2003 We prove some spectral inclusions for strongly continuous semigroups. Some stability results are also established.
Abdelkader Elkoutri, Mohamed Aziz Taoudi
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