Results 11 to 20 of about 1,100,944 (211)
Hyperstability of the Fréchet Equation and a Characterization of Inner Product Spaces [PDF]
Journal of Function Spaces and Applications, 2013 We prove some stability and hyperstability results for the well-known Fréchet equation stemming from one of the characterizations of the inner product spaces. As the main tool, we use a fixed point theorem for the function spaces.
Anna Bahyrycz +3 more
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Closed spectral measures in Fréchet spaces
International Journal of Mathematics and Mathematical Sciences, 1984 Closed spectral measures, which are often used in the theory of operators, have the desirable property that their L1-space is complete. In this note criteria are given which assure the closedness of spectral measures acting in Fréchet spaces.
W. Ricker
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Productively Fréchet spaces [PDF]
, 2000 summary:We solve the long standing problem of characterizing the class of strongly Fréchet spaces whose product with every strongly Fréchet space is also ...
Jordan, Francis +5 more
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Double convergence and products of Fréchet spaces [PDF]
, 1998 summary:The paper is devoted to convergence of double sequences and its application to products. In a convergence space we recognize three types of double convergences and points, respectively. We give examples and describe their structure and properties.
Frič, Roman +2 more
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Workshop lecture on products of Fréchet spaces [PDF]
, 2010 The general question, “When is the product of Fréchet spaces Fréchet?” really depends on the questions of when a product of α4 Fréchet spaces (also known as strongly Fréchet or countably bisequential spaces) is α4, and when it is Fréchet.
Nyikos, Peter J.
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Fréchet differentiability via partial Fréchet differentiability [PDF]
, 2023 summary:Let $X_1, \dots, X_n$ be Banach spaces and $f$ a real function on $X=X_1 \times\dots \times X_n$. Let $A_f$ be the set of all points $x \in X$ at which $f$ is partially Fréchet differentiable but is not Fréchet differentiable.
Zajíček, Luděk
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ON TWO-SIDED UNIDIRECTIONAL MEAN VALUE INEQUALITY IN A FRÉCHET SMOOTH SPACE
Ural Mathematical Journal, 2023 The paper is devoted to a new unidirectional mean value inequality for the Fréchet subdifferential of a continuous function. This mean value inequality finds an intermediate point and localizes its value both from above and from below; for this reason ...
Dmitry V. Khlopin
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On topological classification of non-archimedean Fréchet spaces [PDF]
, 2000 summary:We prove that any infinite-dimensional non-archimedean Fréchet space $E$ is homeomorphic to $D^{\mathbb{N}}$ where $D$ is a discrete space with $\mathop {\mathrm card}(D)=\mathop {\mathrm dens}(E)$.
Śliwa, Wiesław +2 more
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Tightness and distinguished Fréchet spaces [PDF]
, 2006 Valdivia invented a nondistinguished Fréchet space whose weak bidual is quasi-Suslin but not K-analytic. We prove that Grothendieck/Köthe's original nondistinguished Fréchet space serves the same purpose.
López Pellicer, M. +3 more
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Ranges of vector measures in Fréchet spaces [PDF]
, 2000 Characterizations are given of those Fréchet spaces E such that every compact subset of E lies in the range of an E-valued measure of bounded variation, respectively in the range of a measure of bounded variation with values in a superspace of E ...
Bonet, José, Diaz-Madrigal, Santiago
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