منابع مشابه
A topological version of Levinson’s theorem
In the framework of scattering theory, we show how the scattering matrix can be related to the projection on the bound states by an index map of K-theory. Pairings with appropriate cyclic cocyles lead naturally to a topological version of Levinson’s theorem.
متن کاملThe Topological Version of Fodor’s Theorem
The following purely topological generalization is given of Fodor’s theorem from [F1] (also known as the “pressing down lemma”): Let X be a locally compact, non-compact T2 space such that any two closed unbounded (c u b) subsets of X intersect [of course, a set is bounded if it has compact closure]; call S ⊂ X stationary if it meets every c u b in X. Then for every neighbourhood assignment U de...
متن کاملA More General Version of the Costa Theorem
In accordance with the Costa theorem, the interference which is independent of the channel input and known non-causally at the transmitter, does not affect the capacity of the Gaussian channel. In some applications, the known interference depends on the input and hence has some information. In this paper, we study the channel with input dependent interference and prove a capacity theorem that n...
متن کاملA FUZZY VERSION OF HAHN-BANACH EXTENSION THEOREM
In this paper, a fuzzy version of the analytic form of Hahn-Banachextension theorem is given. As application, the Hahn-Banach theorem for$r$-fuzzy bounded linear functionals on $r$-fuzzy normedlinear spaces is obtained.
متن کاملA Topological Minimax Theorem
We present a topological minimax theorem (Theorem 2.2). The topological assumptions on the spaces involved are somewhat weaker than those usually found in the literature. Even when reinterpreted in the convex setting of topological vector spaces, our theorem yields nonnegligible improvements, for example, of the Passy–Prisman theorem and consequently of the Sion theorem, contrary to most result...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Annales Polonici Mathematici
سال: 1995
ISSN: 0066-2216,1730-6272
DOI: 10.4064/ap-61-1-89-93