On convergence in -inner product spaces.

Gunawan, Hendra

Displaying similar documents to “On convergence in $n$ -inner product spaces.”

Mosco convergence of sequences of homogeneous polynomials.

J. Ferrera (1998)

Revista Matemática Complutense

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In this paper we give a characterization of uniform convergence on weakly compact sets, for sequences of homogeneous polynomials in terms of the Mosco convergence of their level sets. The result is partially extended for holomorphic functions. Finally we study the relationship with other convergences.

On convergence in some subspaces of generalized functions

S. Pilipović (1979)

Matematički Vesnik

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Weak convergence in infinite dimensional spaces

Jan Franců (1994)

Acta Mathematica et Informatica Universitatis Ostraviensis

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On convergence groups and convergence uniformities

D. Kent (1967)

Fundamenta Mathematicae

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On parameter convergence and convergence in larger sense

M. R. Tasković (1971)

Matematički Vesnik

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Convergence in B-spaces

D. Adnađević (1984)

Matematički Vesnik

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On Schwartz Spaces and Mackey Convergence

Hans Jarchow (1973)

Publications du Département de mathématiques (Lyon)

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From weak to strong types of $L_{E}^{1}$ -convergence by the Bocce criterion

Erik Balder, Maria Girardi, Vincent Jalby (1994)

Studia Mathematica

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Necessary and sufficient oscillation conditions are given for a weakly convergent sequence (resp. relatively weakly compact set) in the Bochner-Lebesgue space $ℒ_{E}^{1}$ to be norm convergent (resp. relatively norm compact), thus extending the known results for $ℒ_{ℝ}^{1}$ . Similarly, necessary and sufficient oscillation conditions are given to pass from weak to limited (and also to Pettis-norm) convergence in $ℒ_{E}^{1}$ . It is shown that tightness is a necessary and sufficient condition to pass from limited to...

Some properties of two-scale convergence

Augusto Visintin (2004)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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We reformulate and extend G. Nguetseng’s notion of two-scale convergence by means of a variable transformation, and outline some of its properties. We approximate two-scale derivatives, and extend this convergence to spaces of differentiable functions. The two-scale limit of derivatives of bounded sequences in the Sobolev spaces $W^{1, p} (R^{N})$ , $L_{r o t}^{2} {(R^{3})}^{3}$ , $L_{d i v}^{2} {(R^{3})}^{3}$ and $W^{2, p} (R^{N})$ is then characterized. The two-scale limit behaviour of the potentials of a two-scale convergent sequence of irrotational fields is finally studied. ...

Displaying similar documents to “On convergence in n -inner product spaces.”

Displaying similar documents to “On convergence in $n$ -inner product spaces.”