共查询到20条相似文献,搜索用时 15 毫秒
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J. C. Rosales P. A. Garcí a-Sá nchez 《Proceedings of the American Mathematical Society》2008,136(2):475-477
Let be a numerical semigroup. Then there exists a symmetric numerical semigroup such that .
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V. A. Kolmykov 《Siberian Mathematical Journal》2008,49(4):660-662
For elements in the subsets of some symmetric inverse semigroup we study the problem of equal cardinality for the sets of commuting and noncommuting elements. 相似文献
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A. N. Kochubei 《Mathematical Notes》1976,19(3):262-265
In this article we investigate the nature of the spectra of self-adjoint extensions of a symmetric operator with equal (finite or infinite) deficiency indices. Our results are formulated in terms of abstract boundary conditions.Translated from Matematicheskie Zametki, Vol. 19, No. 3, pp. 429–434, March, 1976. 相似文献
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M. E. Dudkin 《Ukrainian Mathematical Journal》1998,50(5):709-718
We prove necessary and sufficient conditions of the S-invariance of a subset dense in a separable Hilbert space H.
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 5, pp. 623–631, May, 1998.
This work was partially supported by the Foundation for Fundamental Research of the Ministry of Science and Technology of
the Ukraine (grant No. 1/238). 相似文献
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S. Ya. Yakubov 《Journal of Mathematical Sciences》1987,37(1):914-915
The following variant of Rellich's theorem is proved. Let A,B be operators in a Hilbert space, A=A*, BB* and D(B)D(A). We assume that (Bu,u)(Au,u), uD(A) for some> –1. Then the operator A + B with domain of definition D(A) is self-adjoint.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 147, pp. 196–198, 1985. 相似文献
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M. E. Dudkin 《Ukrainian Mathematical Journal》1998,50(6):888-900
We give a criterion of invariance and symmetry of the restriction of an arbitrary unbounded self-adjoint operator in the space
L
2(ℝn, dx) by using the introduced notion of support of an arbitrary vector and the notion of capacity of a subspace N ⊂ ℝn.
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 6, pp. 781–791, June, 1998.
This work was partially supported by the Foundation for Fundamental Research of the Ministry of Science and Technology of
the Ukraine (grant No. 1/238 “Operator”). 相似文献
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We study the spectral problem $$\left. {\Delta \mathcal{U} + K^2 \mathcal{U} = 0, \frac{{\partial u}}{{\partial n}} - iK\mathcal{O}\mathcal{U}} \right|_{\partial \Omega } = 0, \mathfrak{S} \geqslant 0$$ We construct a self-adjoint dilatation and the problem is reduced to the investigation of a dissipative operator in a space with energy metric. 相似文献
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A. A. Ogorodnikov 《Russian Mathematics (Iz VUZ)》2011,55(6):76-84
In this paper we study the Cauchy problem for a nonlinear stochastic equation with a generator of a semigroup discontinuous
at zero. We prove the unique existence of a mild solution for some class of such semigroups. We establish a connection between
weak and mild solutions for such semigroups. 相似文献
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Paolo Zanardo 《Journal of Pure and Applied Algebra》2008,212(10):2259-2270
Let R be a local one-dimensional domain. We investigate when the class semigroup S(R) of R is a Clifford semigroup. We make use of the Archimedean valuation domains which dominate R, as a main tool to study its class semigroup. We prove that if S(R) is Clifford, then every element of the integral closure of R is quadratic. As a consequence, such an R may be dominated by at most two distinct Archimedean valuation domains, and coincides with their intersection. When S(R) is Clifford, we find conditions for S(R) to be a Boolean semigroup. We derive that R is almost perfect with Boolean class semigroup if, and only if R is stable. We also find results on S(R), through examination of [V/P:R/M] and v(M), where V dominates R, and P, M are the respective maximal ideals. 相似文献
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We show that the heat semigroup generated by certain perturbations of the Laplace–Beltrami operator on the Riemannian symmetric spaces of noncompact type is chaotic on their Lp-spaces when 2<p<∞. Both the range of p and the range of chaos-inducing perturbation are sharp. This extends a result of Ji and Weber [17] where it was shown that under identical conditions the heat operator is subspace-chaotic on these spaces. 相似文献
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This is a brief survey of M. G. Krein's contribution to the theory of self-adjoint extensions of Hermitian operators and to the theory of boundary-value problems for differential equations. The further development of these results is also considered.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, Nos. 1–2, pp. 55–62, January–February, 1994. 相似文献
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On the self-adjoint extensions of symmetric ordinary differential operators with middle deficiency indices 总被引:7,自引:0,他引:7
Sun Jiong 《数学学报(英文版)》1986,2(2):152-167