共查询到20条相似文献,搜索用时 328 毫秒
1.
Positivity - Let $$(A,{\mathscr {A}},\mu )$$ and $$(B,{\mathscr {B}},\nu )$$ be probability spaces, let $${\mathscr {F}}$$ be a sub- $$\sigma $$ -algebra of the product $$\sigma $$ -algebra... 相似文献
2.
Jorge Antezana Gustavo Corach Demetrio Stojanoff 《Integral Equations and Operator Theory》2006,55(2):169-188
If
$$\mathcal{H}$$ is a Hilbert space,
$$\mathcal{S}$$ is a closed subspace of
$$\mathcal{H},$$ and A is a positive bounded linear operator on
$$\mathcal{H},$$ the spectral shorted operator
$$\rho \left( {\mathcal{S},\mathcal{A}} \right)$$ is defined as the infimum of the sequence
$$\sum (\mathcal{S},A^n )^{1/n} ,$$ where denotes
$$\sum \left( {\mathcal{S},B} \right)$$ the shorted operator of B to
$$\mathcal{S}.$$ We characterize the left spectral resolution of
$$\rho \left( {\mathcal{S},\mathcal{A}} \right)$$ and show several properties of this operator, particularly in the case that
dim
$${\mathcal{S} = 1.}$$ We use these results to generalize the concept of Kolmogorov complexity for the infinite dimensional
case and for non invertible operators. 相似文献
3.
Periodica Mathematica Hungarica - Let $${\mathcal {A}}$$ be a $$*$$ -algebra and $${{\mathcal {M}}}$$ be a $$*$$ - $${\mathcal {A}}$$ -bimodule. We study the local properties of $$*$$ -derivations... 相似文献
4.
Given any cancellative continuous semigroup operation $$\star $$ on the positive real numbers $$\mathbf {R}_+$$ with the ordinary topology, we completely characterize the set $$\mathcal {D}_\star (\mathbf {R}_+)$$ of all cancellative continuous semigroup operations on $$\mathbf {R}_+$$ which are distributed by $$\star $$ in terms of homeomorphism. As a consequence, we show that an arbitrary semigroup operation in $$\mathcal {D}_\star (\mathbf {R}_+)$$ is homeomorphically isomorphic to the ordinary addition $$+$$ on $$\mathbf {R}_+$$. 相似文献
5.
Designs, Codes and Cryptography - A $$\varrho $$ -saturating set of $$\text {PG}(N,q)$$ is a point set $${\mathcal {S}}$$ such that any point of $$\text {PG}(N,q)$$ lies in a subspace of dimension... 相似文献
6.
7.
In this paper, we mainly study a family of unbounded non-hyperbolic domains in $$\mathbb {C}^{n+m}$$, called Fock–Bargmann–Hartogs domains $$D_{n,m}(\mu )$$ ($$\mu >0$$) which are defined as a Hartogs type domains with the fiber over each $$z\in \mathbb {C}^{n}$$ being a ball of radius $$e^{-\frac{\mu }{2} {\Vert z\Vert }^{2}}$$. The purpose of this paper is twofold. Firstly, we obtain necessary and sufficient conditions for Rawnsley’s $$\varepsilon $$-function $$\varepsilon _{(\alpha ,g)}(\widetilde{w})$$ of $$\big (D_{n,m}(\mu ), g(\mu ;\nu )\big )$$ to be a polynomial in $$\Vert \widetilde{w}\Vert ^2$$, where $$g(\mu ;\nu )$$ is a Kähler metric associated with the Kähler potential $$\nu \mu {\Vert z\Vert }^{2} -\ln (e^{-\mu {\Vert z\Vert }^{2}}-\Vert w\Vert ^2)$$. Secondly, using above results, we study the Berezin quantization on $$D_{n,m}(\mu )$$ with the metric $$\beta g(\mu ;\nu )$$$$(\beta >0)$$. 相似文献
8.
Kalimullin I. Sh. Puzarenko V. G. Faizrahmanov M. Kh. 《Siberian Mathematical Journal》2019,60(3):464-471
Siberian Mathematical Journal - We study the problem of the existence of decidable and positive $$\Pi_1^1$$ - and $$\Sigma_1^1$$ -numberings of the families of $$\Pi_1^1$$ - and $$\Sigma_1^1$$... 相似文献
9.
Journal of Algebraic Combinatorics - Let $$\Gamma $$ denote a finite, simple and connected graph. Fix a vertex x of $$\Gamma $$ and let $$T=T(x)$$ denote the Terwilliger algebra of $$\Gamma $$ with... 相似文献
10.
Mathematical Notes - Let $$f(x)$$ be a function belonging to the Lebesgue class $$L^p({\mathbb R}_+)$$ on the semiaxis $${\mathbb R}_+=[0,+\infty)$$ , $$1\le p\le 2$$ , and let $$\widehat{f}$$ be... 相似文献
11.
The universal minimal one parameter system will be characterized as the space $$\Gamma ^{\infty }$$, in which $$\Gamma$$ is the Bohr compactification of the additive group $${\mathbb {R}}$$ of real numbers. In this way, we need to show that $$\Gamma ^\infty$$ is isomorphic to the spectrum of $$W({\mathbb {R}})$$, the norm closure of the invariant algebra generated by the maps $$\exp q(t)$$, where q(t) is a real polynomial on $${\mathbb {R}}$$. 相似文献
12.
Monatshefte für Mathematik - Let $$\Omega $$ be a $$C^2$$ -smooth bounded pseudoconvex domain in $$\mathbb {C}^n$$ for $$n\ge 2$$ and let $$\varphi $$ be a holomorphic function on $$\Omega $$... 相似文献
13.
Mathematical Programming - For two integers $$k>0$$ and $$\ell $$ , a graph $$G=(V,E)$$ is called $$(k,\ell )$$ -tight if $$|E|=k|V|-\ell $$ and $$i_G(X)\le k|X|-\ell $$ for each... 相似文献
14.
Positivity - Let $${{\mathcal {M}}}$$ be a von Neumann algebra of operators on a Hilbert space $${\mathcal {H}}$$ and $$\tau $$ be a faithful normal semifinite trace on $$\mathcal {M}$$ . Let... 相似文献
15.
Positivity - In this paper, we study $$\sigma $$ -subdifferentials of $$\sigma $$ -convex functions. Two equivalent conditions for $$\sigma $$ -convexity are given. The formula for the $$\sigma $$... 相似文献
16.
The Orlov spectrum and Rouquier dimension are invariants of a triangulated category to measure how big the category is, and they have been studied actively. In this paper, we investigate the singularity category $$\textsf {D} _{\textsf {sg} }(R)$$ of a hypersurface R of countable representation type. For a thick subcategory $${\mathcal {T}}$$ of $$\textsf {D} _{\textsf {sg} }(R)$$ and a full subcategory $$\mathcal {X}$$ of $${\mathcal {T}}$$, we calculate the Rouquier dimension of $${\mathcal {T}}$$ with respect to $$\mathcal {X}$$. Furthermore, we prove that the level in $$\textsf {D} _{\textsf {sg} }(R)$$ of the residue field of R with respect to each nonzero object is at most one. 相似文献
17.
Let
$$w = w(x_1, \ldots , x_n)$$
be a non-trivial word of n-variables. The word map on a group G that corresponds to w is the map
$$\widetilde{w}: G^n\rightarrow G$$
where
$$\widetilde{w}((g_1, \ldots , g_n)) := w(g_1, \ldots , g_n)$$
for every sequence
$$(g_1, \ldots , g_n)$$
. Let
$$\mathcal G$$
be a simple and simply connected group which is defined and split over an infinite field K and let
$$G =\mathcal G(K)$$
. For the case when
$$w = w_1w_2 w_3 w_4$$
and
$$w_1, w_2, w_3, w_4$$
are non-trivial words with independent variables, it has been proved by Hui et al. (Israel J Math 210:81–100, 2015) that
$$G{\setminus } Z(G) \subset {{\text { Im}}}\,\widetilde{w}$$
where Z(G) is the center of the group G and
$${{\text { Im}}}\, {\widetilde{w}}$$
is the image of the word map
$$\widetilde{w}$$
. For the case when
$$G = {{\text {SL}}}_n(K)$$
and
$$n \ge 3$$
, in the same paper of Hui et al.
(2015) it was shown that the inclusion
$$G{\setminus } Z(G)\subset {{\text { Im}}}\,\widetilde{w}$$
holds for a product
$$w = w_1w_2 w_3$$
of any three non-trivial words
$$ w_1, w_2, w_3$$
with independent variables. Here we extent the latter result for every simple and simply connected group which is defined and split over an infinite field K except the groups of types
$$B_2, G_2$$
. 相似文献
18.
Differential Equations - For the Laplace equation in a bounded domain of the space $$\mathbb {R}^n $$ , $$n\geq 3$$ , with a boundary that contains a piece $$\Gamma $$ of a hyperplane $$L $$ , we... 相似文献
19.
Let
$$\Omega \subset \mathbb {R}^n$$
be a bounded mean convex domain. If
$$\alpha <0$$
, we prove the existence and uniqueness of classical solutions of the Dirichlet problem in
$$\Omega $$
for the
$$\alpha $$
-singular minimal surface equation with arbitrary continuous boundary data. 相似文献
20.
We propose a generalisation of the congruence subgroup problem for groups acting on rooted trees. Instead of only comparing the profinite completion to that given by level stabilizers, we also compare pro-
$$\mathcal {C}$$
completions of the group, where
$$\mathcal {C}$$
is a pseudo-variety of finite groups. A group acting on a rooted, locally finite tree has the
$$\mathcal {C}$$
-congruence subgroup property (
$$\mathcal {C}$$
-CSP) if its pro-
$$\mathcal {C}$$
completion coincides with the completion with respect to level stabilizers. We give a sufficient condition for a weakly regular branch group to have the
$$\mathcal {C}$$
-CSP. In the case where
$$\mathcal {C}$$
is also closed under extensions (for instance the class of all finite p-groups for some prime p), our sufficient condition is also necessary. We apply the criterion to show that the Basilica group and the GGS-groups with constant defining vector (odd prime relatives of the Basilica group) have the p-CSP. 相似文献