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Locally Convex Space
Strong Operator Topology
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ON THE GENERALIZED CONTINUITY OF THE SEMIVARIATION IN LOCALLY CONVEX SPACES
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ON THE CONTINUITY OF THE SEMIVARIATION IN LOCALLY CONVEX SPACES
ON THE CONTINUITY OF THE SEMIVARIATION IN LOCALLY CONVEX SPACES,J An Haluska
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ON THE CONTINUITY OF THE SEMIVARIATION IN LOCALLY CONVEX SPACES
(
Citations: 5
)
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J An Haluska
Abstract. If the introduced condition (GB) is fulfllled, then everywhere conver gence of nets of measurable functions implies convergence in semivariation on a set of flnite variation of a measure,m: § ! L(X;Y) which is æadditive in the
strong operator topology
(§ is a æalgebra of subsets and X;Y are both locally convex spaces). In the case of the purely atomic measure Condition (GB) is fulfllled.
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Citation Context
(3)
...In [
11
]‐[13] the first author developed a new technique for C. B. L. C. S. and operatorvalued measure...
...In this section we collect the needed definitions and results from [
11
], [12], and [13]...
Ján Haluška
,
et al.
On Vector Integral Inequalities
...In [
13
, 14, 15, 16] we may find an integration technique which generalizes the Dobrakov integration theory to C. B. L. C. S. and in [17] it is shown how such an integral may be constructed...
Ján Haluška
,
et al.
On Integrable Functions in Complete Bornological Locally Convex Spaces
...There are also many papers where authors consider various generalized settings (e.g. [3], [7], [
8
] and [13])...
Jan HALUSKA
,
et al.
On Dobrakov net submeasures
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Integral and Trigonometric Series
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Citations: 7
)
N. N. Luzin
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Citations
(5)
On vectorvalued Dobrakov submeasures
(
Citations: 1
)
Ondrej Hutník
Published in 2011.
On Vector Integral Inequalities
(
Citations: 1
)
Ján Haluška
,
Ondrej Hutník
Journal:
Mediterranean Journal of Mathematics  MEDITERR J MATH
, vol. 6, no. 1, pp. 105124, 2009
On integration in complete bornological locally convex spaces
(
Citations: 5
)
Ján Haluška
Journal:
Czechoslovak Mathematical Journal  CZECH MATH J
, vol. 47, no. 2, pp. 205219, 1997
On Integrable Functions in Complete Bornological Locally Convex Spaces
Ján Haluška
,
Ondrej Hutník
Journal:
Mediterranean Journal of Mathematics  MEDITERR J MATH
, pp. 122
On Dobrakov net submeasures
Jan HALUSKA
,
Ondrej HUTNIK