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Estimates on singular values of func...
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Liu, Qinbo.
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Estimates on singular values of functions of perturbed operators.
紀錄類型:
書目-電子資源 : Monograph/item
正題名/作者:
Estimates on singular values of functions of perturbed operators./
作者:
Liu, Qinbo.
面頁冊數:
69 p.
附註:
Source: Dissertation Abstracts International, Volume: 77-10(E), Section: B.
Contained By:
Dissertation Abstracts International77-10B(E).
標題:
Applied mathematics. -
電子資源:
http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10112280
ISBN:
9781339754345
Estimates on singular values of functions of perturbed operators.
Liu, Qinbo.
Estimates on singular values of functions of perturbed operators.
- 69 p.
Source: Dissertation Abstracts International, Volume: 77-10(E), Section: B.
Thesis (Ph.D.)--Michigan State University, 2016.
In this thesis we study the behavior of functions of operators under perturbations. We prove that if function f belongs to the class Lambdao (def/=) {f : of (delta) ≤ const o(delta)} for an arbitrary modulus of continuity o, then s/j( f(A - fB)) ≤ c · o*((1 + j) (-1/p)||A - B||S( l/p)) · ||f|| (Delta/o) for arbitrary self-adjoint operators A, B and all 1 ≤ j ≤ l were o*(x) (def/=) xfinfinity x o(t/t2 dt (x > 0). The result is then generalized to contractions, maximal dissipative operators, normal operators and n-tuples of commuting self-adjoint operators.
ISBN: 9781339754345Subjects--Topical Terms:
2122814
Applied mathematics.
Estimates on singular values of functions of perturbed operators.
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Source: Dissertation Abstracts International, Volume: 77-10(E), Section: B.
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In this thesis we study the behavior of functions of operators under perturbations. We prove that if function f belongs to the class Lambdao (def/=) {f : of (delta) ≤ const o(delta)} for an arbitrary modulus of continuity o, then s/j( f(A - fB)) ≤ c · o*((1 + j) (-1/p)||A - B||S( l/p)) · ||f|| (Delta/o) for arbitrary self-adjoint operators A, B and all 1 ≤ j ≤ l were o*(x) (def/=) xfinfinity x o(t/t2 dt (x > 0). The result is then generalized to contractions, maximal dissipative operators, normal operators and n-tuples of commuting self-adjoint operators.
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