共查询到20条相似文献,搜索用时 15 毫秒
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《European Journal of Combinatorics》2007,28(5):1442-1454
Let be a non-degenerate symplectic space of dimension over the field and for a natural number denote by the incidence geometry whose points are the totally isotropic -dimensional subspaces of . Two points of will be collinear when and and then the line on and will consist of all the -dimensional subspaces of which contain . The isomorphism type of this geometry is denoted by . When we classify subspaces of where . 相似文献
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This work is concerned with the relations between exact controllability and complete stabilizability for linear systems in Hilbert spaces. We give an affirmative answer to the open problem posed by Rabah and Karrakchou [R. Rabah, J. Karrakchou, Exact controllability and complete stabilizability for linear systems in Hilbert spaces, Appl. Math. Lett. 10 (1997) 35–40]. More precisely, if the -semigroup generated by is surjective and the pair with a bounded operator is completely stabilizable, then is exactly controllable without any additional condition. 相似文献
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Francesc Tugores 《Indagationes Mathematicae》2018,29(5):1326-1333
This paper deals with interpolating sequences for two spaces of holomorphic functions in the unit disk in : those that are bounded and those that satisfy a Lipschitz condition , . Given a sequence of values in a certain target space, we look for a function interpolating ‘in mean”, that is, with , . We obtain target spaces when we prescribe that the corresponding interpolating sequences be the uniformly separated ones or the union of two uniformly separated ones. 相似文献
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Bart Litjens 《Discrete Mathematics》2018,341(6):1740-1748
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In this paper, we compute the -, - and -duals of the sequence spaces , the -dual of the sequence spaces and the -dual of the sequence spaces and . 相似文献
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Katsunori Kawamura 《Linear algebra and its applications》2012,436(7):2638-2652
Let denote the -algebra defined as the direct sum of all matrix algebras . It is known that has a non-cocommutative comultiplication . From a certain set of transformations of integers, we construct a universal R-matrix R of the -bialgebra such that the quasi-cocommutative -bialgebra is triangular. Furthermore, it is shown that certain linear Diophantine equations are corresponded to the Yang–Baxter equations of R. 相似文献
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《Indagationes Mathematicae》2017,28(2):294-305
We study the degree of compactness of composition operators acting on weighted Hilbert spaces of entire functions, which include (i) the space of entire Dirichlet series, (ii) the space of entire power series, and (iii) the Fock space (we must have , and it is known that is compact if and only if ). More precisely, the sequence of approximation numbers of is investigated: for (i), we give the exact formula for , while for (ii) and (iii) we give upper and lower estimates for , showing that behaves like up to a subexponential factor. In particular, belongs to all Schatten classes as soon as it is compact. 相似文献
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Zhidong Pan 《Linear algebra and its applications》2012,436(11):4251-4260
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Michael Tait 《Discrete Mathematics》2018,341(1):104-108
Let denote that any -coloring of contains a monochromatic . The degree Ramsey number of a graph , denoted by , is . We consider degree Ramsey numbers where is a fixed even cycle. Kinnersley, Milans, and West showed that , and Kang and Perarnau showed that . Our main result is that and . Additionally, we substantially improve the lower bound for for general . 相似文献
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For fractional Navier–Stokes equations and critical initial spaces X, one used to establish the well-posedness in the solution space which is contained in . In this paper, for heat flow, we apply parameter Meyer wavelets to introduce Y spaces where is not contained in . Consequently, for , we establish the global well-posedness of fractional Navier–Stokes equations with small initial data in all the critical oscillation spaces. The critical oscillation spaces may be any Besov–Morrey spaces or any Triebel–Lizorkin–Morrey spaces where . These critical spaces include many known spaces. For example, Besov spaces, Sobolev spaces, Bloch spaces, Q-spaces, Morrey spaces and Triebel–Lizorkin spaces etc. 相似文献
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Jussi Behrndt Seppo Hassi Henk De Snoo Rudi Wietsma 《Linear algebra and its applications》2012,436(5):935-953
The basic objects in this paper are monotonically nondecreasing matrix functions defined on some open interval of and their limit values and at the endpoints a and b which are, in general, selfadjoint relations in . Certain space decompositions induced by the matrix function are made explicit by means of the limit values and . They are a consequence of operator inequalities involving these limit values and the notion of strictness (or definiteness) of monotonically nondecreasing matrix functions. This treatment provides a geometric approach to the square-integrability of solutions of definite canonical systems of differential equations. 相似文献
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