Results 221 to 230 of about 359,834 (262)

Varieties and Vector Measures

Mathematische Nachrichten, 1978
A locally convex space L has the property ℰ if equicontinuous subsets of L* are weak-star sequentially compact. (L*, σ(L*, L)) is a MAZUR space if given F ∈ L** with F weak-star sequentially continuous then F∈ L. If L is complete with the property ∈, then (L*, σ (L*, L)) is a MAZUR space.
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Lyapunov Vector Measures

SIAM Journal on Control, 1975
Consider the following infinite-dimensional extension of the linear control system discussed in Hermes and La Salle [9].Let T be a set (time interval),$\mathcal{S}$ a $\sigma $-algebra of subsets of T, X a quasi-complete locally convex topological vector space, and ${\bf m} = (m_i )$ a sequence of vector measures $m_i :\mathcal{S} \to X$, $i = 1,2 ...
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Continuous Selections for Vector Measures

Mathematics of Operations Research, 1987
A vector measure is a many to one map; it maps many measurable sets onto the same point. A selection for a vector measure is a function which assigns to each point in the range of the vector measure only one measurable set which is mapped onto the point. The existence of a continuous selection for nonatomic vector measures is proved where the distance
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Melnikov's vector — A “Measure of chaos”

Reports on Mathematical Physics, 1991
An asymptotic perturbation theory, based on the Melnikov's function is developed for nonlinear dynamical systems with the left-hand sides in the form of integrable zeroth-order terms plus a small perturbation (which may be both Hamiltonian and non-Hamiltonian).
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On Vector Lattice-Valued Measures

Canadian Mathematical Bulletin, 1965
E. Hewitt [1] used the Daniell approach to define a real-valued measure function on a σ-algebra of the real line. He began by defining an arbitrary non-negative linear functional I on L∞ ∞(R), (the space of all complex-valued continuous functions on the real line R which vanish off some compact subset of R).
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Additivity of vector gleason measures

International Journal of Theoretical Physics, 1992
The author studies the degree of additivity of orthogonal Hilbert-space- valued measures on the lattice \(L(H)\) of all projections acting on a Hilbert space \(H\). He gives criteria for such measures to be completely additive and establishes the connection between the additivity of orthogonal measures and the size of almost disjoint families on \(\dim
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On Vector Measures

Proceedings of the London Mathematical Society, 1967
Dinculeanu, Nicolae, Kluvanek, I.
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On Measurability for Vector-Valued Functions

Canadian Journal of Mathematics, 1963
The problem of developing an abstract integration theory has been approached from many angles (6). The most general of several definitions based on the norm topology is that of Birkhoff (1), which includes the well-known and widely used Bochner integral (3).The original Birkhoff formulation was based on the notion of unconditional convergence of an ...
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On Some Properties of Vector Measures

Proceedings of the Steklov Institute of Mathematics, 2018
Let \(E\) be a separable Banach space, \((T,\mathcal{T},\mu)\) a finite nonatomic measure space, \(S\) a separable metric space and \((p_n)_{n\in\mathbb{N}}\) a partition of unity subordinate to a locally finite cover \((V_n)_{n\in\mathbb{N}}\) of \(S\). For \(n\in\mathbb{N}\), let \(S\ni s\mapsto f_{n,s}\) be a continuous map into the space \(L^1(\mu ,
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