Results 271 to 280 of about 610,727 (313)

Productively Fr�chet Spaces

Czechoslovak Mathematical Journal, 2004
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Jordan, Francis, Mynard, Frédéric
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PARACOMMUTATORS ON PRODUCT SPACES

Acta Mathematica Scientia, 1993
A paracommutator is an operator defined as follows: \[ T_ b f(\xi)= (2\pi)^{-d} \int_{\mathbb{R}^ d} \widehat{b} (\xi-\eta) A(\xi,\eta) \widehat{f}(\eta) d\eta, \] where \(\widehat{f}\) is the Fourier transform of the function \(f\). The authors consider paracommutators on product spaces \(\mathbb{R}^{d_ 1}\times \mathbb{R}^{d_ 2}\) when the Fourier ...
Li, Chun, Lin, Peng, Peng, Lizhong
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Localic Products of Spaces

Proceedings of the London Mathematical Society, 1996
The subject is spatiality of localic products of topological spaces, in particular metrizable spaces, or equivalently, preservation of products under the embedding of the category of sober spaces into the category of locales. A key theorem characterizes spatiality of (localic) products in terms of winning strategies of a strictly determined topological
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K-spaces property of product spaces

Acta Mathematica Sinica, 1997
Let \({\mathcal P}\) be a cover of a space \(X\). Then \({\mathcal P}\) is a \(k\)-network for \(X\), if whenever \(K\subset U\) with \(K\) compact and \(U\) open in \(X,K\subset \bigcup{\mathcal P}'\subset U\) for some finite \({\mathcal P}'\subset{\mathcal P}\). A cover \({\mathcal C}\) of a space \(X\) is compact-countable if each compact subset of \
Liu, Chuan, Lin, Shou
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Reduced Product Spaces

The Annals of Mathematics, 1955
Consideration of the space of loops on a given space has played an important role in algebraic topology since Serre generalized the notion of fibre space and applied spectral homology technique to the computation of homotopy groups. However, loop-spaces have the disadvantage of being very ``large'' and not susceptible to the familiar combinatorial ...
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Inner product spaces

1995
Real and complex inner product spaces are defined and several examples are studied. Elementary properties of inner products, such as the Cauchy–Schwarz–Bunyakovsky Theorem and Minkowski’s inequality are proven. The Lagrange identity relating inner and cross products in three-dimensional real vector spaces is proven.
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PRODUCTS OF SEQUENCE SPACES

Analysis, 1987
In the present paper M. Buntinas defines the FK-product E\({\hat \otimes}F\) of two FK-spaces E and F to be the space of all sequences u which permit a representation \(u=\sum^{\infty}_{j=1}x^ j\cdot y^ j\) with \(x^ j\in E\) and \(y^ j\in F\), where convergence of the series is coordinatewise, such that \(\sum^{\infty}_{j=1}p(x^ j)q(y^ j)
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