منابع مشابه
some properties of fuzzy hilbert spaces and norm of operators
in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...
15 صفحه اولExamples of operators and spectra
[1.0.2] Remark: The same argument applied to T shows that σ(T) is inside the closed ball of radius |T|op. By the elementary identity T − λ = (T − λ) · (Tn−1 + Tn−2λ+ . . .+ Tλn−2 + λn−2) (T − λ)−1 exists for |λ| > |T|op, that is, for |λ| > |Tn| op . That is, σ(T ) is inside the closed ball of radius infn≥1 |Tn| op . The latter expression is the spectral radius of T . This notion is relevant to ...
متن کاملSome properties of soft θ-topology
For dealing with uncertainties researchers introduced the concept of soft sets. Georgiou et al. [10] defined several basic notions on soft θ-topology and they studied many properties of them. This paper continues the study of the theory of soft θ-topological spaces and presents for this theory new definitions, characterizations, and results concerning soft θ-boundary, soft θ-exterior, soft θ-ge...
متن کاملSome Illustrative Examples of Permutability of Fuzzy Operators and Fuzzy Relations
Composition of fuzzy operators often appears and it is natural to ask when the order of composition does not change the result. In previous papers, we characterized permutability in the case of fuzzy consequence operators and fuzzy interior operators. We also showed the connection between the permutability of the fuzzy relations and the permutability of their induced fuzzy operators. In this wo...
متن کامل08b. Examples of spectra of operators
Proof: That λ 6∈ σ(T ) is that there is a continuous linear operator (T−λ)−1. We claim that for μ sufficiently close to λ, (T − μ)−1 exists. Indeed, a heuristic suggests an expression for (T − μ)−1 in terms of (T − λ)−1. The algebra is helpfully simplified by replacing T by T + λ, so that λ = 0. With μ near 0 and granting existence of T−1, the heuristic is (T − μ)−1 = (1− μT−1)−1 · T−1 = ( 1 + ...
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ژورنال
عنوان ژورنال: Kyushu Journal of Mathematics
سال: 1994
ISSN: 1340-6116
DOI: 10.2206/kyushujm.48.101