共查询到20条相似文献,搜索用时 281 毫秒
1.
A CDCSL algebra is a reflexive operator algebra with completely distributive and commutative subspace lattice. In this paper,
we show, for a weakly closed linear subspace
of a CDCSL algebra
, that
is a Lie ideal if and only if
for all invertibles A in
, and that
is a Jordan ideal if and only if it is an associative ideal. 相似文献
2.
Hidetoshi Maeda 《Archiv der Mathematik》2007,88(5):419-424
Let
be an ample vector bundle of rank n – 1 on a smooth complex projective variety X of dimension n≥ 3 such that X is a
-bundle over
and that
for any fiber F of the bundle projection
. The pairs
with
= 2 are classified, where
is the curve genus of
. This allows us to improve some previous results.
Received: 13 June 2006 相似文献
3.
Let
be the L
2-critical nonlinear Schr?dinger equation, in a domain
with initial data in
(Dirichlet boundary condition) and
. We prove existence and stability of finite time blow-up dynamics with the log-log blow-up speed
Moreover, for a suitable class of finite time blow-up solutions, we derive global rigidity properties which turn out to be
modeled after the
ones.
Submitted: October 14, 2005. Revised: October 26, 2006. Accepted: February 2, 2007. 相似文献
4.
A family of transitive modular Lie superalgebras with depth one 总被引:1,自引:0,他引:1
Wen-de LIU~ 《中国科学A辑(英文版)》2007,50(10):1451-1466
The embedding theorem is established for Z-graded transitive modular Lie superalgebras g=(?)satisfying the conditions: (i)g0(?)(g-1)and g0-module g-1 is isomorphic to the natural(?)(g-1)-module; (ii)dim g1=2/3n(2n~2 1),where n=1/2dim g-1. In particular,it is proved that the finite-dimensional simple modular Lie superalgebras satisfying the conditions above are isomorphic to the odd Hamiltonian superalgebras.The restricted Lie superalgebras are also considered. 相似文献
5.
Let
and
. We are interested in the lower bounds of the integral:
where h > 0 and
. Using the lower bounds for these integrals we obtain in particular for the so-called Fejér operator
of
the following asymptotic expression
which essentially improves the results concerning the approximation behavior of this operator.
Received: 10 January 2006 相似文献
6.
In this paper we generalize the concept of primitivation of monogenic functions taking values in a Clifford algebra, which
is on its own a generalization to higher dimension of the primitivation problem for holomorphic functions in the complex plane.
This problem can be stated as follows: given a monogenic function
on
, i.e. a solution for the generalized Cauchy-Riemann operator D on
, construct a monogenic function
such that
. In view of the fact that, for monogenic functions g, this can be written as
g = f, a straightforward generalization consists in replacing the scalar generator
of translations in the x
0-direction by a generator of another transformation group. In this paper we consider translations in more dimensions. 相似文献
7.
We define the reduced minimum modulus
of a nonzero element a in a unital C
*-algebra
by
. We prove that
. Applying this result to
and its closed two side ideal
, we get that dist
,
and
for any
if RR
= 0, where
and
is the quotient homomorphism and
. These results generalize corresponding results in Hilbert spaces. 相似文献
8.
Let ∑ be either an oriented hyperplane or the unit sphere in
, let
be open and connected and let
be an open and connected domain in
such that
. If in
is a null solution of the Dirac operator (also called a monogenic function in
) which is continuously extendable to
, then conditions upon
are given enabling the monogenic extension of
across
. In such a way Schwarz reflection type principles for monogenic functions are established in the Spin (1) and Spin
cases. The Spin (1) case includes the classical Schwarz reflection principle for holomorphic functions in the plane. The
Spin
case deals with so-called “half boundary value problems” for the Dirac operator.
Received: 2 February 2006 相似文献
9.
Tomasz Maszczyk 《Archiv der Mathematik》2007,88(4):323-332
Numerical and geometric characterizations, among all morphisms
, of those which are
-equivalent to the canonical morphism induced by the Morita equivalence
–, are presented.
The author was partially supported by KBN grants 1P03A 036 26 and 115/E-343/SPB/6.PR UE/DIE 50/2005-2008.
Received: 10 September 2005 相似文献
10.
Let G be a connected simply connected almost
-simple algebraic group with
non-compact and
a cocompact congruence subgroup. For any homogeneous manifold
of finite volume, and a
, we show that the Hecke orbit T
a
(x
0
H) is equidistributed on
as
, provided H is a non-compact commutative reductive subgroup of G. As a corollary, we generalize the equidistribution result of Hecke points ([COU], [EO1]) to homogeneous spaces G/H. As a concrete application, we describe the equidistribution result in the rational matrices with a given characteristic
polynomial.
The second author partially supported by DMS 0333397.
Received: May 2005 Revision: March 2006 Accepted: June 2006 相似文献
11.
Imre Kocsis 《Aequationes Mathematicae》2007,73(3):280-284
12.
Let G be a split adjoint semisimple group over
and
a maximal compact subgroup. We shall give a uniform, short and essentially elementary proof of the Weyl law for cusp forms
on congruence quotients of
. This proves a conjecture of Sarnak for
-split groups, previously known only for the case G = PGL(n). The key idea amounts to a new type of simple trace formula.
Received: April 2005 Revision: June 2006 Accepted: October 2006 相似文献
13.
Let X be the Cantor set and φ be a minimal homeomorphism on
. We show that the crossed product C*-algebra
is a simple A
-algebra provided that the associated cocycle takes its values in rotations on
. Given two minimal systems
and
such that φ and ψ arise from cocycles with values in isometric homeomorphisms on
, we show that two systems are approximately K-conjugate when they have the same K-theoretical information. 相似文献
14.
Amol Sasane 《Integral Equations and Operator Theory》2007,59(2):245-256
Let E, E* be separable Hilbert spaces. If S is an open subset of
, then
denotes the space of all functions
that are holomorphic in
, and bounded and continuous on
. In this article we prove the following results:
相似文献
1. | A theorem concerning the approximation of by a function F that is holomorphic in a neighbourhood of and such that the error F − f is uniformly bounded in the disk . |
2. | The corona theorem for when dim(E) < ∞: If there exists a δ > 0 such that for all , , then there exists a such that for all , g(z)f(z) = I. |
3. | The problem of complementing to an isomorphism for when {dim(E) < ∞ (Tolokonnikov’s lemma): has a left inverse iff it is a ‘part’ of an invertible element F in . |
15.
Kazem Khashyarmanesh 《Archiv der Mathematik》2007,88(5):413-418
Let (
) be a commutative Noetherian local ring with non-zero identity,
an ideal of R and M a finitely generated R-module with
. Let D(–) := Hom
R
(–, E) be the Matlis dual functor, where
is the injective hull of the residue field
. We show that, for a positive integer n, if there exists a regular sequence
and the i-th local cohomology module H
i
a
(M) of M with respect to
is zero for all i with i > n then
The author was partially supported by a grant from Institute for Studies in Theoretical Physics and Mathematics (IPM) Iran
(No. 85130023).
Received: 9 August 2006 相似文献
16.
J. Almeida 《Journal of Mathematical Sciences》2007,144(2):3881-3903
A uniformly recurrent pseudoword is an element of a free profinite semigroup in which every finite factor appears in every
sufficiently long finite factor. An alternative characterization is as a pseudoword that is a factor of all its infinite factors,
i.e., one that lies in a
-class with only finite words strictly
-above it. Such a
-class is regular, and therefore it has an associated profinite group, namely, any of its maximal subgroups. One way to produce
such
-classes is to iterate finite weakly primitive substitutions. This paper is a contribution to the computation of the profinite
group associated with the
-class that is generated by the infinite iteration of a finite weakly primitive substitution. The main result implies that
the group is a free profinite group provided the substitution induced on the free group on the letters that appear in the
images of all of its sufficiently long iterates is invertible.
__________
Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 11, No. 3, pp. 13–48, 2005. 相似文献
17.
We consider the perturbed harmonic oscillator
in
, where
is a real-valued potential. We prove that the mapping
spectral data = {eigenvalues of T
D
}
{norming constants} is one-to-one and onto. The complete characterization of the set of spectral data which corresponds to
is given.
Dedicated to Vladimir Buslaev on the occasion of his 70th birthday
Submitted: September 27, 2006. Accepted: January 9, 2007. 相似文献
18.
Stefan Gille 《Archiv der Mathematik》2007,88(4):333-343
Let
be a closed subscheme of the noetherian scheme X. We show that if X has a dualizing complex
then there exists a dualizing complex
of Z such that there is an isomorphism of coherent Witt groups
for all
.
Received: 3 March 2006 相似文献
19.
We investigate the ideal structure of the Toeplitz algebra
of a totally ordered abelian group
. We show that the primitive ideals of
are parametrised by the disjoint union
of the duals
of the order ideals
of
, and identify the
hull-kernel topology on
when the chain of orderideals in
is isomorphic to a subset of
相似文献
20.
We prove Tolokonnikov’s Lemma and the inner-outer factorization for the real Hardy space
, the space of bounded holomorphic (possibly operator-valued) functions on the unit disc all of whose matrix-entries (with
respect to fixed orthonormal bases) are functions having real Fourier coefficients, or equivalently, each matrix entry f satisfies
for all z ∈
.
Tolokonnikov’s Lemma for
means that if f is left-invertible, then f can be completed to an isomorphism; that is, there exists an F, invertible in
, such that F = [ f f
c
] for some f
c
in
. In control theory, Tolokonnikov’s Lemma implies that if a function has a right coprime factorization over
, then it has a doubly coprime factorization in
. We prove the lemma for the real disc algebra
as well. In particular,
and
are Hermite rings.
The work of the first author was supported by Magnus Ehrnrooth Foundation.
Received: December 5, 2006. Revised: February 4, 2007. 相似文献