Some examples of spectral operators
نویسندگان
چکیده
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 ...
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ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 1967
ISSN: 0019-2082
DOI: 10.1215/ijm/1256054451