共查询到20条相似文献,搜索用时 31 毫秒
1.
Graeme West 《Integral Equations and Operator Theory》1995,22(3):352-359
Suppose
is a von Neumann algebra on a Hilbert space
and
is any ideal in
. We determine a topology
on
, for which the members of
that are
to norm continuous are exactly those in
; and a bornology
on
such that the elements of
which map the unit ball to an element of
, equivalently those members of
that are norm to
bounded, are exactly those in
. This is achieved via analogues of the notions of injectivity and surjectivity in the theory of operator ideals on Banach spaces. 相似文献
2.
Prof. Dr. Hellmuth Stachel 《Monatshefte für Mathematik》1979,88(1):45-54
TheBlaschke-Grünwald-map associates to each surface in the quasielliptic space a planar euclidean two-parameter motion
. Using this map we find kinematic meanings of the Gaussian quasielliptic curvature and furthermore some theorems about the asymptotic motions of
. The kinematic equivalent of the relation of left-conjugated tangents in points of is a regular or singular projectivity on each poleline of
. This projectivities have been studied already byH. J. E. Beth andW. v.d. Woude. We show that in every position the quadratic curvature transformations of almost all one-parameter motions of
are determined by . 相似文献
3.
Takuya Hara 《Integral Equations and Operator Theory》1992,15(4):551-567
Let
be a Hilbert space. A continuous positive operatorT on
uniquely determines a Hilbert space
which is continuously imbedded in
and for which
with the canonical imbedding
. A Kreîn space version of this result, however, is not valid in general. This paper provides a necessary and sufficient condition for that a continuous selfadjoint operatorT uniquely determines a Kreîn space (
) which is continuously imbedded in
and for which
with the canonical imbedding
. 相似文献
4.
Ignacio Bajo 《Monatshefte für Mathematik》1994,118(1-2):1-6
Let
be a complex Lie algebra,
its underlying real Lie algebra,
a real form of
and ·, · the euclidean product induced by the real part of an hermitian inner product on
. Let aut
be the Lie algebra of skew-symmetric derivations of
. We give necessary and sufficient conditions to ensure that aut
is composed of skew-hermitian derivations. As an application, we study holomorphy in large subgroups of isometries of Lie groups. 相似文献
5.
Prof. Dr. E. Binz 《Monatshefte für Mathematik》1980,89(4):275-288
OnE(M,
n
), the Fréchet-manifold of all smooth embeddings of a smooth, compact, closed, orientable manifoldM (of dimensionn-1) into
n
two natural metricsG and
are considered. The metric
plays a central rôle in elasticity theory. Using a generalised notion of the Fréchet derivative their respective spraysS and
and the correspoonding Levi-Civita connections are computed. BothS and
are smooth in a well defined sense. In contrast toS the spray
turns out to be trivial. 相似文献
6.
Prof. Ottmar Loos 《Monatshefte für Mathematik》1978,86(2):107-129
Every Jordan pair
defines an algebraic varietyX containing
as a dense open subset.X is projective (affine) if and only if
is separable (radical). The Picard group ofX is generated by the irreducible factors of the generic norm of
. If
is separable then the automorphism group ofX is the projective group of
. 相似文献
7.
Tamás Szönyi 《Graphs and Combinatorics》1991,7(3):279-287
A complete arc in a projective plane of orderq has at least
points. We show the existence of completek-arcs having
points in certain André planes of square order. Moreover our construction shows that for all
x > \sqrt q \log q$$
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there are completek-arcs withx < k < Cxlogq, for some absolute constantC. 相似文献
8.
Edgar R. Lorch 《Integral Equations and Operator Theory》1981,4(3):422-434
The objects studied are the subalgebras of
which contain co. These are isometrically isomorphic to the algebras C(
) where
is a compactification of a discrete denumerable set N . It is shown: 1) If
is metric then there is a projection of norm 1, P: C(
) C(
) with kernel co defined by PF = f o where is a retraction of
onto
=
– N . 2) If
is metric, then the group of homeomorphisms of
is isomorphic to a complete group of permutations of the natural numbers . 3) The group of homeomorphisms of a compact metric space is the homomorphic image of a complete group of permutations of ("complete" means "no outer automorphisms, trivial center"). 相似文献
9.
S. Zhang 《Algebra Universalis》1996,35(4):485-505
Let
be a variety of completely regular semigroups. Define
C
* to be the class of all completely regular semigroupsS whose least full and self-conjugate subsemigroupC
*(S) belongs to
. ThenC
* is an operator on the lattice
of varieties of completely regular semigroups. In this note we show that the order ofC
* is infinite. This fact yields that the Mal'cev project is not associative on
. We describe
(C
*)1,
andi 0, in terms of -invariant normal subgroups of the free group over a countably infinite set. The lattice theoretic properties ofC
* are also studied.Presented by W. Taylor. 相似文献
10.
LetF be an algebraic number field and F such thatx
m– is irreducible, wherem is an integer. Let
be a prime ideal inF with
. The prime decomposition of
in
is explicitly obtained in the following cases. Case 1:
, (a,m) = 1 (where
means
, 0
). Case 2:m lt, wherel is a prime andl 0
. Case 3:m 0
and every prime that dividesm also dividespf–1. It is not assumed that thev
th roots of unity are inF for anyv 2. 相似文献
11.
Let
and
the foliations by the null geodesics of some lorentzian metricg on the torus
. We analyse how geodesic completeness properties ofg are related to the dynamics of
and
. 相似文献
12.
Johannes Schoissengeier 《Monatshefte für Mathematik》1992,114(2):139-147
A proof of the formula
for locally compact fields
andC
1-isomorphisms :UV, whereU andV are open subsets of
, was never published. In this paper we give two short proofs, one of them is a more elementary variant of the other. 相似文献
13.
LetT be a contraction acting in a separable Hilbert space
and leaving invariant a nest
of subspaces of
. We answer the question: when doesT have an isometric extension to
which leaves invariant the nest
= {N N :N
;}. 相似文献
14.
Frieder Haug 《Order》1994,11(1):61-76
We discuss the question, whether each automorphism group (of cardinality at most
) of a linear order is embeddable into the automorphism group of the real line. We show that the answer to this question is independent of the axioms of ZFC: the answer is positive, if we assume
<
and Souslin's hypothesis; the answer is negative, if we assume
orV=L. 相似文献
15.
Summary Let
denote the extended Weyl algebra,
, the Weyl algebra. It is well known that every element of
of the formA=B
k
*
B
k
is positive. We prove that the converse implication also holds: Every positive elementA in
has a quadratic sum factorization for some finite set of elements (B
k
) in
. The corresponding result is not true for the subalgebra
. We identify states on
which do not extend to states on
. It follows from a result of Powers (and Arveson) that such states on
cannot be completely positive. Our theorem is based on a certain regularity property for the representations which are generated by states on
, and this property is not in general shared by representations generated by states defined only on the subalgebra
.Work supported in part by the NSF 相似文献
16.
John Harding 《Order》1993,10(3):283-294
If
is a variety of orthomodular lattices generated by a set of orthomodular lattices having a finite uniform upper bound om the length of their chains, then the MacNeille completion of every algebra in
again belongs to
.The author gratefully acknowledges the support of NSERC. 相似文献
17.
Siegfried Steiner 《manuscripta mathematica》1977,20(3):277-300
Let E be a n-dimensional euclidean vector space. The subset V
k
n
={x ... x | x E} of kE is called a Veronesemanifold. The scalar product of E induces a euclidean structure on kE. Passing to the corresponding projective space
, one may consider
as a riemannian submanifold of the space form
. In this paper we study properties of the pair
of riemannian manifolds. 相似文献
18.
Menita Carozza Nicola Fusco Giuseppe Mingione 《Annali di Matematica Pura ed Applicata》1998,175(1):141-164
We prove partial regularity for minimizers of quasiconvex integrals of the form
dx where the integral F() has subquadratic growth, ie
.Research supported by MURST, Gruppo Nazionale 40%. 相似文献
19.
A. Schinzel 《Monatshefte für Mathematik》1986,102(4):309-337
Letk>1 and let
be non-zero algebraic numbers contained in the field
. It is shown that for almost all, in the sense of density integer vectorsn
1,...,n
k
the polynomial
becomes irreducible over
on dividing by the product of all factorsx–, where is a root of unity.Dedicated to Professor E. Hlawka on the occasion of his seventieth birthday 相似文献
20.
Prof. Dr. Karl Wilhelm Bauer 《Monatshefte für Mathematik》1978,85(2):89-97
The paper is concerned with the differential equation
with
. The Vekua resolvents are determined by means of an associated second-order differential equation. Applications are given to pseudo-analytic functions, to a differential equation in the theory of several complex variables and to the Ernst equation in general relativity. 相似文献