共查询到20条相似文献,搜索用时 15 毫秒
1.
I. Dochviri 《Ukrainian Mathematical Journal》2006,58(12):1955-1960
Some properties of regular and normal bitopological spaces are established. The classes of sets inheriting the bitopological
properties of regularity and normality are found. A theorem on a finite covering of pairwise normal spaces is proved. We also
study the behavior of individual multivalued mappings, taking the axioms of bitopological regularity and normality into account.
Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 58, No. 12, pp. 1720–1724, December, 2006. 相似文献
2.
We provide a concise analysis about what is known regarding when the closure of the domain of a maximally monotone operator on an arbitrary real Banach space is convex. In doing so, we also provide an affirmative answer to a problem posed by Simons. 相似文献
3.
S. S. Marchenkov 《Journal of Applied and Industrial Mathematics》2011,5(3):383-390
An operator of FE-closure is introduced on the set of functions of a multivalued logic based on the systems of functional
equations. It is proved that, for every k ≥ 2, the FE-closure operator generates a finite classification on the set P
k
of functions of k-valued logic. The least class in this classification is shown to be the class H
k
of all homogeneous functions. Also a series of corollaries are obtained concerning the finite FE-generating sets in the FE-closed
classes. 相似文献
4.
G. Castellini 《Quaestiones Mathematicae》2016,39(2):275-287
In this paper functoriality of the notion of categorical interior operator is discussed and as a related topic, the property of ?-modal interior operator is introduced. 相似文献
5.
Dedicated to the memory of A. I. Mal'tsev. 相似文献
6.
Srdjan Petrovic 《Proceedings of the American Mathematical Society》1996,124(9):2807-2811
In this paper we study the Foias-Williams operator
where , and is a Hankel operator with symbol . We exhibit a relationship between the similarity of to a contraction and the rate of decay of , the absolute values of the Fourier coefficients of the symbol .
7.
On the concepts of intertwining operator and tensor product module in vertex operator algebra theory
Yi-Zhi Huang James Lepowsky Haisheng Li Lin Zhang 《Journal of Pure and Applied Algebra》2006,204(3):507-535
We produce counterexamples to show that in the definition of the notion of intertwining operator for modules for a vertex operator algebra, the commutator formula cannot in general be used as a replacement axiom for the Jacobi identity. We further give a sufficient condition for the commutator formula to imply the Jacobi identity in this definition. Using these results we illuminate the crucial role of the condition called the “compatibility condition” in the construction of the tensor product module in vertex operator algebra theory, as carried out in work of Huang and Lepowsky. In particular, we prove by means of suitable counterexamples that the compatibility condition was indeed needed in this theory. 相似文献
8.
David Holgate 《Applied Categorical Structures》1996,4(1):107-120
A categorical closure operator induced via pullback by a pointed endofunctor is introduced. Various notions of a perfect morphism relative to a pointed endofunctor and the induced closure are then considered. The main result explores how these notions are interrelated, linking also with earlier notions of perfectness.The author acknowledges financial support from the University of Cape Town, from the Foundation for Research Development through the Categorical Topology Research Group at the University of Cape Town, and from the University of L'Aquila. 相似文献
9.
A. N. Plichko 《Journal of Mathematical Sciences》1992,58(6):540-541
Translated from Teoriya Funktsii, Funktsional'nyi Analiz i Ikh Prilozheniya, No. 53, pp. 69–70, 1990. 相似文献
10.
TAOCHANGLI LUSHUJIE LIPENGTONG 《高校应用数学学报(英文版)》1998,13(3):295-300
In this paper, the properties B^n p,q, and B^n 1,q are introduced.A lot of results on the reflexivity of operator operator subspaces which generalize the results in [1] are obtained. 相似文献
11.
The ``bounded closure of the range" of an operator between two normed spaces is a linear subspace lying between the range and its closure. The induced concept of ``almost onto" is a sort of first draft of the concept of ``almost open".
12.
13.
E. A. Pavlov 《Mathematical Notes》1979,26(6):958-960
14.
15.
Josef Šlapal 《Mathematica Slovaca》2011,61(5):717-732
We study neighborhoods with respect to a categorical closure operator. In particular, we discuss separation and compactness
obtained from neighborhoods in a natural way and compare them with the usual closure separation and closure compactness. We
also introduce a concept of convergence based on using centered systems of subobjects, which naturally generalizes the classical
filter convergence in topological spaces. We investigate behavior of the convergence introduced and show, among others, that
it relates to the separation and compactness in natural ways. 相似文献
16.
17.
A. A. Ivanov 《Journal of Mathematical Sciences》1990,52(1):2759-2790
This paper gives a survey of and problems in the study of bitopological spaces.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 167, pp. 5–62, 1988. 相似文献
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20.
The main purpose of this paper is to prove the following result. Let H be a complex Hilbert space, let (H) be the algebra of all bounded linear operators on H, and let (H) ⊂ (H) be a standard operator algebra which is closed under the adjoint operation. Suppose that T: (H) → (H) is a linear mapping satisfying T(AA* A) = T(A)A* A − AT(A*)A + AA*T(A) for all A ∈ (H). Then T is of the form T(A) = AB + BA for all A ∈ (H), where B is a fixed operator from (H). A result concerning functional equations related to bicircular projections is proved
相似文献