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971.
DENG Fangwen & OUYANG Caiheng Wuhan Institute of Physics Mathematics Chinese Academy of Sciences Wuhan China 《中国科学A辑(英文版)》2006,(11)
We give a definition of Bloch space on bounded symmetric domains in arbitrary complex Banach space and prove such function space is a Banach space. The properties such as boundedness, compactness and closed range of composition operators on such Bloch space are studied. 相似文献
972.
V. B. Korotkov 《Siberian Mathematical Journal》2006,47(5):896-900
We establish a condition for reducibility of a family of operators to integral form by an isometric operator the same for the whole family. 相似文献
973.
Eduard Yu. Emel'yanov Manfred P.H. Wolff 《Journal of Mathematical Analysis and Applications》2006,314(2):749-763
We develop a new approach for investigation of asymptotic behavior of Markov semigroup on preduals of von Neumann algebras. With using of our technique we establish several results about mean ergodicity, statistical stability, and constrictiviness of Markov semigroups. 相似文献
974.
Xiaohong Cao 《Journal of Mathematical Analysis and Applications》2006,323(1):267-274
Using a variant of the essential approximate point spectrum, we give the necessary and sufficient conditions for T for which the a-Browder's theorem or the a-Weyl's theorem holds. Also, the relation between hypercyclic operators (or supercyclic operators) and the operators which satisfy Weyl type theorem is discussed. 相似文献
975.
First we study several extremal problems on minimax, and prove that they are equivalent. Then we connect this result with the exact values of some approximation characteristics of diagonal operators in different settings, such as the best n-term approximation, the linear average and stochastic n-widths, and the Kolmogorov and linear n-widths. Most of these exact values were known before, but in terms of equivalence of these extremal problems, we present a unified approach to give them a direct proof. 相似文献
976.
We consider the boundary value problems in a quarter-plane for a loaded heat conduction operator (one-dimensional in the space variable). A peculiarity of the operator in question is as follows: first, the spectral parameter is the coefficient of the loaded summand; second, the order of the derivative in the loaded summand is equal to that of the differential part of the operator, and third, the load point moves with a variable velocity. We demonstrate that the boundary value problem under study is Noetherian. 相似文献
977.
Pier Domenico Lamberti Massimo Lanza de Cristoforis 《Mathematical Physics, Analysis and Geometry》2006,9(1):65-94
We consider the Dirichlet eigenvalue problem for the Laplace operator on a variable nonsmooth domain. We extend a result of Lupo and Micheletti concerning the structure of the set of domain perturbations which leave the multiplicity of an eigenvalue unchanged, and we study the set of perturbations which leave a certain eigenvalue unchanged. 相似文献
978.
The sequence 001 001 001 001 is simpler than 01 001 0111 001. We present a formal mathematical theory that gives an exact
meaning to the preceding (intuitively clear) statement.
Supported in part by the RFBR (Grant No. 05-01-00104).
Read at the Moscow Mathematical Society meeting 22 November 2005, homepage: . 相似文献
979.
Khalida Inayat Noor 《Journal of Mathematical Analysis and Applications》2005,307(1):339-349
Carlson and Shaffer [SIAM J. Math. Anal. 15 (1984) 737-745] defined a convolution operator L(a,c) on the class A of analytic functions involving an incomplete beta function ?(a,c;z) as L(a,c)f=?(a,c)?f. We use this operator to introduce certain classes of analytic functions in the unit disk and study their properties including some inclusion results, coefficient and radius problems. It is shown that these classes are closed under convolution with convex functions. 相似文献
980.
In this paper we study the homogeneous relativistic heat equation (HRHE) obtained as asymptotic limit of the so-called relativistic
heat equation (RHE) when the kinematic viscosity ν → ∞. These equations were introduced in the theory of radiation hydrodynamics
to guarantee a bounded speed of propagation of radiating energy. We shall prove that this is indeed true, and we shall construct
some explicit solutions of the HRHE exhibiting fronts propagating at light speed. 相似文献