On almost continuous additive functions

Zbigniew Grande

Mathematica Slovaca (1996)

  • Volume: 46, Issue: 2-3, page 203-211
  • ISSN: 0232-0525

How to cite

top

Grande, Zbigniew. "On almost continuous additive functions." Mathematica Slovaca 46.2-3 (1996): 203-211. <http://eudml.org/doc/31644>.

@article{Grande1996,
author = {Grande, Zbigniew},
journal = {Mathematica Slovaca},
keywords = {additive function; continuity; almost continuity; Darboux property; transfinite sequences},
language = {eng},
number = {2-3},
pages = {203-211},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On almost continuous additive functions},
url = {http://eudml.org/doc/31644},
volume = {46},
year = {1996},
}

TY - JOUR
AU - Grande, Zbigniew
TI - On almost continuous additive functions
JO - Mathematica Slovaca
PY - 1996
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 46
IS - 2-3
SP - 203
EP - 211
LA - eng
KW - additive function; continuity; almost continuity; Darboux property; transfinite sequences
UR - http://eudml.org/doc/31644
ER -

References

top
  1. JASTRZEBSKI J. M.-JEDRZEJEWSKI J. M.-NATKANIEC T., On some subclasses of Darboux functions, Fund. Math. 138 (1991), 165-173. (1991) Zbl0749.26003MR1121603
  2. JONES F. B., Connected and disconnected plane sets and the functional equation f(x + y) = f(x) + f(y), Bull. Amer. Math. Soc. 48 (1942), 115-120. (1942) MR0005906
  3. KELLUM K. R., Almost continuity and connectivity - sometimes it's as easy to prove a stronger result, Real Anal. Exchange 8 (1982-83), 244-252. (1982) MR0694512
  4. KUCZMA M., An Introduction to the Theory of Functional Equations and Inequalities, Cauchy's Equation and Jensens Inequality, PWN, Warszawa-Krakow-Katowice, 1985. (1985) Zbl0555.39004MR0788497
  5. STALLINGS J., Fixed point theorems for connectivity maps, Fund. Math. 47 (1959), 249-263. (1959) Zbl0114.39102MR0117710

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.