منابع مشابه
some properties of fuzzy hilbert spaces and norm of operators
in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...
15 صفحه اولDetecting Hilbert Manifolds among Homogeneous Metric Spaces
We detect Hilbert manifolds among homogeneous metric spaces and apply the obtained results to recognizing Hilbert manifolds among homogeneous spaces of the form G/H where G is a metrizable topological group and H is a closed balanced subgroup of G.
متن کاملCompact orbit spaces in Hilbert spaces and limits of edge-coloring models
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متن کاملCompact orbit spaces in Hilbert spaces and limits of edge-colouring models
Abstract. Let G be a group of orthogonal transformations of a real Hilbert space H. Let R and W be bounded G-stable subsets ofH. Let ‖.‖R be the seminorm onH defined by ‖x‖R := supr∈R |〈r, x〉| for x ∈ H. We show that if W is weakly compact and the orbit space R/G is compact for each k ∈ N, then the orbit space W/G is compact when W is equiped with the norm topology induced by ‖.‖R. As a consequ...
متن کاملOrbit Spaces Arising from Isometric Actions on Hyperbolic Spaces
Let be a differentiable action of a Lie group on a differentiable manifold and consider the orbit space with the quotient topology. Dimension of is called the cohomogeneity of the action of on . If is a differentiable manifold of cohomogeneity one under the action of a compact and connected Lie group, then the orbit space is homeomorphic to one of the spaces , , or . In this paper we suppo...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2016
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2016.03.008