منابع مشابه
Holomorphic Functional Calculi and Sums of Commuting Operators
Let S and T be commuting operators of type ! and type $ in a Banach space X. Then the pair has a joint holomorphic functional calculus in the sense that it is possible to deene operators f(S; T) in a consistent manner, when f is a suitable holomorphic function deened on a product of sectors. In particular, this gives a way to deene the sum S +T when ! +$ <. We show that this operator is always ...
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The one-dimensional Dunkl operator Dk with a non-negative parameter k, is considered under an arbitrary nonlocal boundary value condition. The right inverse operator of Dk, satisfying this condition is studied. An operational calculus of Mikusiński type is developed. In the frames of this operational calculi an extension of the Heaviside algorithm for solution of nonlocal Cauchy boundary value ...
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The class of discrete uninorms U such that their underlying t-norm T and t-conorm S are smooth is studied. The different cases combining when T is the minimum or the Łukasiewicz t-norm and S is the maximum or the Łukasiewicz t-conorm, are characterized and the number of discrete uninorms with these underlying operators is given. It is also studied the general case when T and/or S are smooth, bu...
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ژورنال
عنوان ژورنال: Journal d'Analyse Mathématique
سال: 2006
ISSN: 0021-7670,1565-8538
DOI: 10.1007/bf02790276