Linear topological properties of the Lumer-Smirnov class of the polydisc
Studia Mathematica (1992)
- Volume: 102, Issue: 1, page 87-102
- ISSN: 0039-3223
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topNawrocki, Marek. "Linear topological properties of the Lumer-Smirnov class of the polydisc." Studia Mathematica 102.1 (1992): 87-102. <http://eudml.org/doc/215916>.
@article{Nawrocki1992,
abstract = {Linear topological properties of the Lumer-Smirnov class $LN_∗(^n)$ of the unit polydisc $^n$ are studied. The topological dual and the Fréchet envelope are described. It is proved that $LN_∗(^n)$ has a weak basis but it is nonseparable in its original topology. Moreover, it is shown that the Orlicz-Pettis theorem fails for $LN_∗(^n)$.},
author = {Nawrocki, Marek},
journal = {Studia Mathematica},
keywords = {linear topological properties of the Lumer-Smirnov class; topological dual; Fréchet envelope; weak basis; Orlicz-Pettis theorem},
language = {eng},
number = {1},
pages = {87-102},
title = {Linear topological properties of the Lumer-Smirnov class of the polydisc},
url = {http://eudml.org/doc/215916},
volume = {102},
year = {1992},
}
TY - JOUR
AU - Nawrocki, Marek
TI - Linear topological properties of the Lumer-Smirnov class of the polydisc
JO - Studia Mathematica
PY - 1992
VL - 102
IS - 1
SP - 87
EP - 102
AB - Linear topological properties of the Lumer-Smirnov class $LN_∗(^n)$ of the unit polydisc $^n$ are studied. The topological dual and the Fréchet envelope are described. It is proved that $LN_∗(^n)$ has a weak basis but it is nonseparable in its original topology. Moreover, it is shown that the Orlicz-Pettis theorem fails for $LN_∗(^n)$.
LA - eng
KW - linear topological properties of the Lumer-Smirnov class; topological dual; Fréchet envelope; weak basis; Orlicz-Pettis theorem
UR - http://eudml.org/doc/215916
ER -
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