منابع مشابه
On Subspaces of an Almost φ-Lagrange Space
The credit for introducing the geometry of Lagrange spaces and their subspaces goes to the famous Romanian geometer Miron 1 . He developed the theory of subspaces of a Lagrange space together with Bejancu 2 . Miron and Anastasiei 3 and Sakaguchi 4 studied the subspaces of generalized Lagrange spaces GL spaces in short . Antonelli and Hrimiuc 5, 6 introduced the concept of φ-Lagrangians and stud...
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In this paper we study four properties related to the existence of a dense metrizable subspace of a generalized ordered (GO) space. Three of the properties are classical, and one is recent. We give new characterizations of GO-spaces that have dense metrizable subspaces, investigate which GO-spaces can embed in GO spaces with one of the four properties, and provide examples showing the relations...
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Let BdH(R ) be the hyperspace of nonempty bounded closed subsets of Euclidean space R endowed with the Hausdorff metric. It is well known that BdH(R ) is homeomorphic to the Hilbert cube minus a point. We prove that natural dense subspaces of BdH(R ) of all nowhere dense closed sets, of all perfect sets, of all Cantor sets and of all Lebesgue measure zero sets are homeomorphic to the Hilbert sp...
متن کاملDense Analytic Subspaces in Fractal L 2 -spaces
We consider self-similar measures µ with support in the interval 0 ≤ x ≤ 1 which have the analytic functions e i2πnx : n = 0, 1, 2,. .. span a dense subspace in L 2 (µ). Depending on the fractal dimension of µ, we identify subsets P ⊂ N 0 = {0, 1, 2,. .. } such that the functions {en : n ∈ P } form an orthonormal basis for L 2 (µ). We also give a higher-dimensional affine construction leading t...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1995
ISSN: 0022-247X
DOI: 10.1006/jmaa.1995.1417