Displaying similar documents to “Generalized Schauder frames”

Frames for Fréchet spaces

S. Pilipović, Diana Stoeva, N. Teofanov (2007)

Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques

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Localic Katětov-Tong insertion theorem and localic Tietze extension theorem

Yong Min Li, Wang Guo-jun (1997)

Commentationes Mathematicae Universitatis Carolinae

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In this paper, localic upper, respectively lower continuous chains over a locale are defined. A localic Katětov-Tong insertion theorem is given and proved in terms of a localic upper and lower continuous chain. Finally, the localic Urysohn lemma and the localic Tietze extension theorem are shown as applications of the localic insertion theorem.

Characterization of Bessel sequences.

M. Laura Arias, Gustavo Corach, Miriam Pacheco (2007)

Extracta Mathematicae

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Let H be a separable Hilbert space, L(H) be the algebra of all bounded linear operators of H and (H) be the set of all Bessel sequences of H. Fixed an orthonormal basis E = {e} of H, a bijection α: (H) → L(H) can be defined. The aim of this paper is to characterize α (A) for different classes of operators A ⊆ L(H). In particular, we characterize the Bessel sequences associated to injective operators, compact operators and Schatten p-classes.