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1.
, . . Q k [0,2],k=1,2, — . F(x, y)L(T), T=[0, 2]2, G(x, y)L(T) , G(x,y)=F(x,y) Q=Q 1 ×Q 2 - .  相似文献   

2.
We obtain some inequalities concerning area and diameter of planar convex sets verifying the assumptions of Minkowski's Theorem, establishing the best possible upper bounds for the ratio A/D, (0,2], and for A/D when some lattice points are included.  相似文献   

3.
Moresi  Remo 《Order》2000,17(3):215-226
We compute the subdirectly irreducible factors of the free Hermitean (semi)lattice generated by a single element a subject to the relation aa ; we also compute the factors of its induced distributive presentation.  相似文献   

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( « . III») - B p,q g(x) F p,q g(x) ( ) R n . --, . : , , , .  相似文献   

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n- (n1) fL p ([–, ] n ),=1 = (L C) . , , f([–, ] n ).  相似文献   

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: (1) ( , , ), (2) ( —, , ). , .  相似文献   

8.
[0,1], - H .

This paper was written during the author's scholarship at the State University of Odessa in the USSR.  相似文献   

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The behavior of the poles zn(), n=1,2,... of the scattering matrix of the operatorl u=–u(x), x , (u/n)+(x)u|=0 as 0 is considered. It is proved that |zn()–zn|=0((1/2)qn), where qn is the order of the pole of the scattering matrix for the operator 0u=–u, u/=0.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 117, pp. 183–191, 1981.  相似文献   

11.
X(Y) f -:X(Y)={fM(×): fX(Y)=f(x,.)YX< . =(0, ), M (×) — , ×, X, Y, Z— . X(Y) Z(×).  相似文献   

12.
. ( ), R n L 2(R 2).

The author is supported by the National Natural Science Found of China.  相似文献   

13.
The lattice of finite extensions of quasi-uniformities for prescribed topologies are examined. An example is presented which shows that in the finite and strict case there can occur that there exists no coarsest compatible extension. It is also verified that inf in the lattice of extensions. In the strict case there exists a coarsest compatible extension if and only if there exists a coarsest extension for X {p} for every p Y - X. It is shown that certain special sup-distributive lattices can be represented by the lattice of extensions. For example every finite distributive lattice is isomorphic to the lattice of extensions for a suitable system.  相似文献   

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In topological linear spaces convex hulls of bounded sets are, in general, not bounded. The question arises whether there is at least for every bounded set B a sequence {|} of strictly positive numbers such that the set { l n v B|n} is bounded. When this obtains, bounded sets share several of the properties known in locally convex spaces. The main result of this note is an example of a countable inductive limit of complete metrizable topological linear spaces which is neither regular nor sequentially complete and also fails to have the above bounded summability property.  相似文献   

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18.
Scheffold  E. 《Positivity》2004,8(2):179-186
In this paper we study the positive resolvent values of positive operators respectively of positive elements in Banach lattice ordered algebras. In the matrix case these values are just the inverse M-matrices. One of the main results is the following: Let A be a Banach lattice ordered algebra. A positive invertible element xA is a resolvent value of a positive element yA if and only if the element x satisfies the negative principle: If aA, < 0 and xaa then xa 0.  相似文献   

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We establish conditions under which the relation M(x, F) (x, F) m(x, F) holds except for a small set, as ¦x¦ + for an entire function F(z) of several complex variables z (p2) represented by a Dirichlet series, where M(x, F) = sup{¦F(x+iy¦: y p}, m(x, F) = inf{¦F(x+iy)¦: y p} (x, F) being the maximal term of the Dirichlet series, and x p.Translated fromMatematichni Metodi ta Fiziko-Mekhanichni Polya, Vol. 40, No. 4, 1997, pp. 21–25.  相似文献   

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