On the inner Daniell-Stone and Riesz representation theorems.
Zur abstrakten Theorie der analytischen Funktionen.
Integraltheorie ohne Verbandspostulat.
On the Basic Extension Theorem in Measure Theory.
On the abstract Hahn-Banach theorem due to Rodé.
Ein einfacher Beweis des Integralsatzes von Gauß.
Herbert Bilharz.
Ein funktionalanalytischer Beweis des Approximationssatzes von Walsh.
On some basic relations in the abstract Hardy algebra theory
The (sub/super)additivity assertion of Choquet
The assertion in question comes from the short final section in Theory of capacities of Choquet (1953/54), in connection with his prototype of the subsequent Choquet integral. The problem was whether and when this operation is additive. Choquet had the much more abstract idea that all functionals in a certain wide class must be subadditive, and similarly for superadditivity. His treatment of this point was more like an outline, and his proof limited to a rather narrow special case. Thus the proper...
Upper envelopes of inner premeasures
The paper resumes one of the themes initiated in the final sections of the celebrated “Theory of Capacities” of Choquet 1953-54. It aims at comprehensive versions in the spirit of the author’s recent work in measure and integration.
Reversibilität und Irreversibilität von linearen dissipativen Systemen.
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