Asymptotic limits of operators similar to normal operators
نویسندگان
چکیده
منابع مشابه
The Asymptotic Limits of Zero Modes of Massless Dirac Operators
Asymptotic behaviors of zero modes of the massless Dirac operator H = α ·D+Q(x) are discussed, where α = (α1, α2, α3) is the triple of 4×4 Dirac matrices, D = 1i ∇x, and Q(x) = ( qjk(x) ) is a 4×4 Hermitian matrix-valued function with |qjk(x)| ≤ C〈x〉 −ρ, ρ > 1. We shall show that for every zero mode f , the asymptotic limit of |x|f(x) as |x| → +∞ exists. The limit is expressed in terms of an in...
متن کاملAsymptotic pseudounitary stacking operators
Stacking operators are widely used in seismic imaging and seismic data processing. Examples include Kirchhoff datuming, migration, offset continuation, DMO, and velocity transform. Two primary approaches exist for inverting such operators. The first approach is iterative least-squares optimization, which involves the construction of the adjoint operator. The second approach is asymptotic invers...
متن کاملsome 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 اولEssentially normal operators
This is a survey of essentially normal operators and related developments. There is an overview of Weyl–von Neumann theorems about expressing normal operators as diagonal plus compact operators. Then we consider the Brown–Douglas–Fillmore theorem classifying essentially normal operators. Finally we discuss almost commuting matrices, and how they were used to obtain two other proofs of the BDF t...
متن کاملOperators Similar to Contractions and Their Similarity to a Normal Operator
It has been established quite recently [1], that a contraction T , having finite defects (rank (I − T T ), rank (I − TT ) < ∞) and the spectrum σ(T ) not filling in the closed unit disk D, is similar to a normal operator if and only if C1(T ) = sup λ6∈σ(T ) ||(T − λ)|| · dist(λ, σ(T )) < ∞. It was shown later [9], that the “only if” part of the assertion is no longer true if T is not a contract...
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: Proceedings of the American Mathematical Society
سال: 2015
ISSN: 0002-9939,1088-6826
DOI: 10.1090/proc/12632