On the boundedness of sets in Musielak-Orlicz spaces

Isaac V. Shragin

Commentationes Mathematicae (2013)

  • Volume: 53, Issue: 2
  • ISSN: 2080-1211

Abstract

top
The notions of metrical and topological vector boundedness of sets are considered in Musielak-Orlicz spaces. The space is called right if both these notions are equivalent. Necessary conditions of the rightness are established, and certain sufficient conditions are found.

How to cite

top

Isaac V. Shragin. "On the boundedness of sets in Musielak-Orlicz spaces." Commentationes Mathematicae 53.2 (2013): null. <http://eudml.org/doc/292378>.

@article{IsaacV2013,
abstract = {The notions of metrical and topological vector boundedness of sets are considered in Musielak-Orlicz spaces. The space is called right if both these notions are equivalent. Necessary conditions of the rightness are established, and certain sufficient conditions are found.},
author = {Isaac V. Shragin},
journal = {Commentationes Mathematicae},
keywords = {bounded set in topological vector space, F-norm, gen-~function, Musielak-Orlicz space, right space},
language = {eng},
number = {2},
pages = {null},
title = {On the boundedness of sets in Musielak-Orlicz spaces},
url = {http://eudml.org/doc/292378},
volume = {53},
year = {2013},
}

TY - JOUR
AU - Isaac V. Shragin
TI - On the boundedness of sets in Musielak-Orlicz spaces
JO - Commentationes Mathematicae
PY - 2013
VL - 53
IS - 2
SP - null
AB - The notions of metrical and topological vector boundedness of sets are considered in Musielak-Orlicz spaces. The space is called right if both these notions are equivalent. Necessary conditions of the rightness are established, and certain sufficient conditions are found.
LA - eng
KW - bounded set in topological vector space, F-norm, gen-~function, Musielak-Orlicz space, right space
UR - http://eudml.org/doc/292378
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.