On the continuity of the semivariation in locally convex spaces

Ján Haluška

Mathematica Slovaca (1993)

  • Volume: 43, Issue: 2, page 185-192
  • ISSN: 0232-0525

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Haluška, Ján. "On the continuity of the semivariation in locally convex spaces." Mathematica Slovaca 43.2 (1993): 185-192. <http://eudml.org/doc/31804>.

@article{Haluška1993,
author = {Haluška, Ján},
journal = {Mathematica Slovaca},
keywords = {semivariation of operator valued measures; convergence of measurable functions; everywhere convergence of nets of measurable functions; convergence in semivariation; -additive in the strong operator topology; locally convex spaces; purely atomic measure Condition (GB); condition (GB)},
language = {eng},
number = {2},
pages = {185-192},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On the continuity of the semivariation in locally convex spaces},
url = {http://eudml.org/doc/31804},
volume = {43},
year = {1993},
}

TY - JOUR
AU - Haluška, Ján
TI - On the continuity of the semivariation in locally convex spaces
JO - Mathematica Slovaca
PY - 1993
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 43
IS - 2
SP - 185
EP - 192
LA - eng
KW - semivariation of operator valued measures; convergence of measurable functions; everywhere convergence of nets of measurable functions; convergence in semivariation; -additive in the strong operator topology; locally convex spaces; purely atomic measure Condition (GB); condition (GB)
UR - http://eudml.org/doc/31804
ER -

References

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  1. DOBRAKOV I., On integration in Banach spaces 1, Czechoslovak Math. J. 20 (1970), 680-695. (1970) MR0365139
  2. GOGUADZE B. F., On Kolmogoroff Integrals and Some Their Applications, (Russian), Micniereba, Tbilisi, 1979. (1979) 
  3. HALUŠKA J., On the generalized continuity of the semivanation in locally convex spaces, Acta Univ. Carolin.-Math. Phys. 32 (1991), 23-28. (1991) MR1146763
  4. KELLEY J. L., General Topology, D. Van Nostrand, London-New York-Princeton-Toronto, 1955. (1955) Zbl0066.16604MR0070144
  5. LUZIN N. N., Integral and the trigonometric series, (Russian) In: Collected Works I, Izd. Akad. Nauk SSSR, Moscow, 1953, pp. 48-221. (1953) 
  6. SMITH W., TUCKER D. H., Weak integral convergence theorem and operator measures, Pacific J. Math. 111 (1984), 243-256. (1984) MR0732069

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