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40
FUNDAMENTAL SEMIGROUPS HAVING A BAND OF IDEMPOTENTS
, 2007
"... The construction by Hall of a fundamental orthodox semigroup WB from a band B provides an important tool in the study of orthodox semigroups. We present here a semigroup SB that plays the role of WB for a class of semigroups having a band of idempotents B. Specifically, the semigroups we consider a ..."
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Cited by 1 (0 self)
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) idempotent connected semigroups VB and UB. We show how the structure of SB can be used to extract information relating to arbitrary weakly Babundant semigroups with (C).
THE MAXIMAL OPERATOR ASSOCIATED TO A NONSYMMETRIC ORNSTEINUHLENBECK SEMIGROUP
, 901
"... Abstract. Let (Ht)t≥0 be the OrnsteinUhlenbeck semigroup on R d with covariance matrix I and drift matrix λ(R − I), where λ> 0 and R is a skewadjoint matrix and denote by γ ∞ the invariant measure for (Ht)t≥0. Semigroups of this form are the basic building blocks of OrnsteinUhlenbeck semigroup ..."
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Uhlenbeck semigroups which are normal on L 2 (γ∞). We prove that if the matrix R generates a oneparameter group of periodic rotations then the maximal operator H∗f(x) = sup t≥o Htf(x)  is of weak type 1 with respect to the invariant measure γ ∞. We also prove that the maximal operator associated to an arbitrary
Bconvexity, the analytic RadonNikodym property, and individual stability of C0semigroups
, 1999
"... Let T = fT (t)gt0 be a C0semigroup on a Banach space X, with generator A and growth bound!. Assume that x0 2 X is such that the local resolvent 7! R(;A)x0 admits a bounded holomorphic extension to the right halfplane fRe > 0g. We prove the following results: (i) If X has Fourier type p 2 (1; 2 ..."
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; 2], then limt!1 kT (t)(0 A) x0k = 0 for all > 1p and 0>!. (ii) If X has the analytic RNP, then limt!1 kT (t)(0 A) x0k = 0 for all > 1 and 0>!. (iii) If X is arbitrary, then weaklimt!1 T (t)(0 A) x0 = 0 for all > 1 and 0>!. As an application we prove a Tauberian theorem
Smarandache ν−Connected spaces
"... Abstract In this paper Smarandache ν−connectedness and Smarandache locally ν−connectedness in topological space are introduced, obtained some of its basic properties and interrelations are verified with other types of connectedness. ..."
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Abstract In this paper Smarandache ν−connectedness and Smarandache locally ν−connectedness in topological space are introduced, obtained some of its basic properties and interrelations are verified with other types of connectedness.
ABSTRACT Title of dissertation: Weakly Compressible NavierStokes Approximation of Gas Dynamics
"... This dissertation addresses mathematical issues regarding weakly compressible approximations of gas dynamics that arise both in fluid dynamical and in kinetic settings. These approximations are derived in regimes in which (1) transport coefficients (viscosity and thermal conductivity) are small and ..."
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This dissertation addresses mathematical issues regarding weakly compressible approximations of gas dynamics that arise both in fluid dynamical and in kinetic settings. These approximations are derived in regimes in which (1) transport coefficients (viscosity and thermal conductivity) are small
Pointwise Green’s function bounds and stability of relaxation shocks
 Indiana Univ. Math. J
"... Abstract. We establish sharp pointwise Green’s function bounds and consequent linearized stability for smooth traveling front solutions, or relaxation shocks, of general hyperbolic relaxation systems of dissipative type, under the necessary assumptions ([G,Z.1,Z.4]) of spectral stability, i.e., stab ..."
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Cited by 40 (30 self)
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≤ ∞, for (Lax type) shocks of arbitrary strength. This yields, in particular, nonlinear stability of weak relaxation shocks of the discrete kinetic Jin–Xin and Broadwell models, for which spectral stability has been established in [HL,JH] and [KM], respectively. Our analysis follows the basic pointwise
RICCATI EQUATION IN QUADRATIC OPTIMAL CONTROL PROBLEM OF DAMPED SECOND ORDER SYSTEM
"... Abstract. This paper studies the properties of solutions of the Riccati equation arising from the quadratic optimal control problem of the general damped second order system. Using the semigroup theory, we establish the weak differential characterization of the Riccati equation for a general class ..."
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Abstract. This paper studies the properties of solutions of the Riccati equation arising from the quadratic optimal control problem of the general damped second order system. Using the semigroup theory, we establish the weak differential characterization of the Riccati equation for a general class
(Nonsymmetric) Dirichlet Operators On L¹: Existence, Uniqueness And Associated Markov Processes
"... Let L be a nonsymmetric operator of type Lu = P a ij @ i @ j u + P b i @ i u on an arbitrary subset U ae R d . We analyse L as an operator on L 1 (U; ¯) where ¯ is an invariant measure, i.e., a possibly infinite measure ¯ satisfying the equation L ¯ = 0 (in the weak sense). We explicitel ..."
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Cited by 9 (2 self)
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Let L be a nonsymmetric operator of type Lu = P a ij @ i @ j u + P b i @ i u on an arbitrary subset U ae R d . We analyse L as an operator on L 1 (U; ¯) where ¯ is an invariant measure, i.e., a possibly infinite measure ¯ satisfying the equation L ¯ = 0 (in the weak sense). We
Linear representations of hereditarily nonsensitive dynamical systems
 Colloq. Math
"... Abstract. For an arbitrary topological group G any compact Gdynamical system (G, X) can be linearly Grepresented as a weak ∗compact subset of a dual Banach space V ∗. As was shown in [44] the Banach space V can be chosen to be reflexive iff the metric system (G, X) is weakly almost periodic (WAP) ..."
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Cited by 14 (14 self)
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Abstract. For an arbitrary topological group G any compact Gdynamical system (G, X) can be linearly Grepresented as a weak ∗compact subset of a dual Banach space V ∗. As was shown in [44] the Banach space V can be chosen to be reflexive iff the metric system (G, X) is weakly almost periodic (WAP
Hereditarily nonsensitive dynamical systems and linear representations
 Colloq. Math
"... Abstract. For an arbitrary topological group G any compact Gdynamical system (G, X) can be linearly Grepresented as a weak ∗compact subset of a dual Banach space V ∗. As was shown in [45] the Banach space V can be chosen to be reflexive iff the metric system (G, X) is weakly almost periodic (WAP) ..."
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Cited by 11 (3 self)
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Abstract. For an arbitrary topological group G any compact Gdynamical system (G, X) can be linearly Grepresented as a weak ∗compact subset of a dual Banach space V ∗. As was shown in [45] the Banach space V can be chosen to be reflexive iff the metric system (G, X) is weakly almost periodic (WAP
Results 1  10
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40