CONTENTSIntroduction......................................................................................................................................... 5Chapter I. THEORY IN CLASSICAL POEM FOB FUNCTIONS 1. Equicontinuity in quasi-uniform context................................................................... 6 2. Quasi-uniform convergence on compacta............................................................. 8 3. k-spaces and ,-spaces......................................................................................
It is shown that every monocompact submeasure on an orthomodular poset is order continuous. From this generalization of the classical Marczewski Theorem, several results of commutative Measure Theory are derived and unified.
We present a general decomposition theorem for a positive inner regular finitely additive measure on an orthoalgebra L with values in an ordered topological group G, not necessarily commutative. In the case where L is a Boolean algebra, we establish the uniqueness of such a decomposition. With mild extra hypotheses on G, we extend this Boolean decomposition, preserving the uniqueness, to the case where the measure is order bounded instead of being positive. This last result generalizes A. D. Aleksandrov's...
Download Results (CSV)