scholarly journals A nonlinear Banach–Steinhaus theorem and some meager sets in Banach spaces

2005 ◽  
Vol 170 (3) ◽  
pp. 303-320 ◽  
Author(s):  
Jacek Jachymski
Keyword(s):  
Banach Spaces ◽  
Steinhaus Theorem ◽  
Meager Sets

scholarly journals SOME EXAMPLES OF MEAGER SETS IN BANACH SPACES

2000 ◽  
Vol 26 (2) ◽  
pp. 877 ◽  
Author(s):  
Balcerzak ◽  
Wachowicz
Keyword(s):  
Banach Spaces ◽  
Meager Sets

scholarly journals S-Barrelled Topological Vector Spaces*

1978 ◽  
Vol 21 (2) ◽  
pp. 221-227 ◽  
Author(s):  
Ray F. Snipes
Keyword(s):  
Banach Spaces ◽  
Vector Spaces ◽  
Fréchet Spaces ◽  
Topological Vector Spaces ◽  
Barrelled Spaces ◽  
Steinhaus Theorem ◽  
Locally Convex

N. Bourbaki [1] was the first to introduce the class of locally convex topological vector spaces called “espaces tonnelés” or “barrelled spaces.” These spaces have some of the important properties of Banach spaces and Fréchet spaces. Indeed, a generalized Banach-Steinhaus theorem is valid for them, although barrelled spaces are not necessarily metrizable. Extensive accounts of the properties of barrelled locally convex topological vector spaces are found in [5] and [8].

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