A nonlinear Banach-Steinhaus theorem and some meager sets in Banach spaces

Jacek Jachymski. "A nonlinear Banach-Steinhaus theorem and some meager sets in Banach spaces." Studia Mathematica 170.3 (2005): 303-320. <http://eudml.org/doc/285249>.

@article{JacekJachymski2005,
abstract = {We establish a Banach-Steinhaus type theorem for nonlinear functionals of several variables. As an application, we obtain extensions of the recent results of Balcerzak and Wachowicz on some meager subsets of L¹(μ) × L¹(μ) and c₀ × c₀. As another consequence, we get a Banach-Mazurkiewicz type theorem on some residual subset of C[0,1] involving Kharazishvili's notion of Φ-derivative.},
author = {Jacek Jachymski},
journal = {Studia Mathematica},
keywords = {Banach-Steinhaus theorem; Baire category; subadditivity; semicontinuity; -derivative},
language = {eng},
number = {3},
pages = {303-320},
title = {A nonlinear Banach-Steinhaus theorem and some meager sets in Banach spaces},
url = {http://eudml.org/doc/285249},
volume = {170},
year = {2005},
}

TY - JOUR
AU - Jacek Jachymski
TI - A nonlinear Banach-Steinhaus theorem and some meager sets in Banach spaces
JO - Studia Mathematica
PY - 2005
VL - 170
IS - 3
SP - 303
EP - 320
AB - We establish a Banach-Steinhaus type theorem for nonlinear functionals of several variables. As an application, we obtain extensions of the recent results of Balcerzak and Wachowicz on some meager subsets of L¹(μ) × L¹(μ) and c₀ × c₀. As another consequence, we get a Banach-Mazurkiewicz type theorem on some residual subset of C[0,1] involving Kharazishvili's notion of Φ-derivative.
LA - eng
KW - Banach-Steinhaus theorem; Baire category; subadditivity; semicontinuity; -derivative
UR - http://eudml.org/doc/285249
ER -