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961.
On examples we show a difference between a continuous and absolutely continuous norm in Banach function spaces. 相似文献
962.
In a Hilbert space H we consider evolution problems -du(t) A(t)u(t) on some interval [0, T], where every A(t): D(A(t)) 2 H is a maximal monotone operator, and the correspondence t A(t) is – in a suitable sense – of bounded variation or absolutely continuous. 相似文献
963.
I. A. Yurov 《Mathematical Notes》1998,63(6):823-836
Let {a
n
}
n
=0/
be a uniformly distributed sequence ofp-adic integers. In the present paper we study continuous functions close to differentiable ones (with respect to thep-adic metric); for these functions, either the sequence {f(a
n
)}
n
=0/
is uniformly distributed over the ring ofp-adic integers or, for all sufficiently largek, the sequences {f
k
(k(an))}
n
=0/
are uniformly distributed over the residue class ring modp
k
, where
k
is the canonical epimorphism of the ring ofp-adic integers to the residue class ring modp
k
andf
k
is the function induced byf on the residue class ring modp
k
(i.e.,f k
(x)
=f(
k
(x)) (modp
k
)). For instance, these functions can be used to construct generators of pseudorandom numbers.Translated fromMatematicheskie Zametki, Vol. 63, No. 6, pp. 935–950, June, 1998.In conclusion, the author wishes to express his deep gratitude to V. S. Anashin for permanent attention to this research and for support. 相似文献
964.
Anne Bauval 《K-Theory》1998,13(1):23-40
We define a notion of nuclearity for C(X)-C*-algebras yielding the same results of semi-exactness, for Kasparovs bifunctor RKK(X), as those obtained by Skandalis in the case X=. We connect explicitly this new notion of nuclearity with those already known. 相似文献
965.
S. Purisch 《Proceedings of the American Mathematical Society》1998,126(1):269-271
A compact 0-dimensional space has a -separating rank 1 family of clopen sets iff it is the continuous image of a compact 0-dimensional linearly ordered space.
966.
The method of projection, proposed in Part I, is applied to derive sharp moment bounds for the expectations of order statistics based onindependentsamples from restricted families of distributions. Three families are considered: life distributions with decreasing failure density, decreasing failure rate, and symmetric unimodal ones. The respective bounds are also numerically compared with those for general populations in both the dependent and independent cases. 相似文献
967.
Valentin G. Gutev 《Set-Valued Analysis》1998,6(2):149-170
The paper is devoted to selection theorems for continuous set-valued mappings which are not necessarily convex-valued on finite-dimensional subsets of the domain. As a result, we get natural generalizations of the famous Kuratowski–Dugundji extension theorem. The technique, developed in the paper, applies to l.s.c. mappings with paracompact, or similar, domain as well. Also, it leads us to a new construction of set-valued continuous selections that involves dimension-type arguments. 相似文献
968.
We study spectral properties of the discrete Laplacian H on the half space Z+
d+1 = Zd× Z+ with a boundary condition (n,-1) = tan( ... n + )(n,0), where [0,1]d. We denote by H0 the Dirichlet Laplacian on Z+
d+1. Whenever is independent over rationals (H) = R. Khoruzenko and Pastur have shown for a set of 's of Lebesgue measure 1, the spectrum of H on R\ (H0) is pure point and that corresponding eigenfunctions decay exponentially. In this Letter we show that if is independent over rationals, then the spectrum of H on the set (H0) is purely absolutely continuous. 相似文献
969.
We give necessary and sufficient conditions for the Kurzweil–Henstock integrability of functions given by , where xn belong to a Banach space and the sets (En)n are measurable and pairwise disjoint. Also weakly completely continuous operators between Banach spaces are characterized by means of scalarly Kurzweil–Henstock integrable functions. 相似文献
970.
Based on a stochastic extension of Karamata’s theory of slowly varying functions, necessary and sufficient conditions are
established for weak laws of large numbers for arbitrary linear combinations of independent and identically distributed nonnegative
random variables. The class of applicable distributions, herein described, extends beyond that for sample means, but even
for sample means our theory offers new results concerning the characterization of explicit norming sequences. The general
form of the latter characterization for linear combinations also yields a surprising new result in the theory of slow variation.
Work was supported in part by the Hungarian Scientific Research Fund, Grant T048360, and carried out within the Analysis and
Stochastics Research Group of the Hungarian Academy of Sciences. 相似文献