A uniform boundedness principle of Pták

Charles W. Swartz

Commentationes Mathematicae Universitatis Carolinae (1993)

  • Volume: 34, Issue: 1, page 149-151
  • ISSN: 0010-2628

Abstract

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The Antosik-Mikusinski Matrix Theorem is used to give an extension of a uniform boundedness principle due to V. Pták to certain metric linear spaces. An application to bilinear operators is given.

How to cite

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Swartz, Charles W.. "A uniform boundedness principle of Pták." Commentationes Mathematicae Universitatis Carolinae 34.1 (1993): 149-151. <http://eudml.org/doc/247475>.

@article{Swartz1993,
abstract = {The Antosik-Mikusinski Matrix Theorem is used to give an extension of a uniform boundedness principle due to V. Pták to certain metric linear spaces. An application to bilinear operators is given.},
author = {Swartz, Charles W.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {uniform boundedness; linear operator; bilinear operator; Antosik-Mikusinski Matrix Theorem; extension of a uniform boundedness principle; metric linear spaces; bilinear operators},
language = {eng},
number = {1},
pages = {149-151},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {A uniform boundedness principle of Pták},
url = {http://eudml.org/doc/247475},
volume = {34},
year = {1993},
}

TY - JOUR
AU - Swartz, Charles W.
TI - A uniform boundedness principle of Pták
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1993
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 34
IS - 1
SP - 149
EP - 151
AB - The Antosik-Mikusinski Matrix Theorem is used to give an extension of a uniform boundedness principle due to V. Pták to certain metric linear spaces. An application to bilinear operators is given.
LA - eng
KW - uniform boundedness; linear operator; bilinear operator; Antosik-Mikusinski Matrix Theorem; extension of a uniform boundedness principle; metric linear spaces; bilinear operators
UR - http://eudml.org/doc/247475
ER -

References

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  1. Antosik P., Swartz C., Matrix Methods in Analysis, Springer-Verlag, Heidelberg, 1985. Zbl0564.46001MR0781343
  2. Klis C., An example of noncomplete normed K -spaces, Bull. Acad. Polon. Sci. 26 (1978), 415-420. (1978) MR0500088
  3. Lorentz G., MacPhail M., Unbounded operators and a theorem of A. Robinson, Trans. Royal Soc. Canada 46 (1952), 33-37. (1952) Zbl0048.35205MR0052533
  4. Maddox I., Infinite Matrices of Operators, Springer-Verlag, Heidelberg, 1980. Zbl0424.40002MR0568707
  5. Neumann M., Pták V., Automatic continuity, local type and casuality, Studia Math. 82 (1985), 61-90. (1985) MR0809773
  6. Pták V., A uniform boundedness theorem and mappings into spaces of operators, Studia Math. 31 (1968), 425-431. (1968) MR0236672
  7. Perez Carreras P., Bonet J., Barrelled Locally Convex Spaces, North Holland, Amsterdam, 1987. Zbl0614.46001MR0880207

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