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The Estimation of Ranks on Some Banach Algeras

Author: WangLiJun
Tutor: XueYiFeng
School: East China Normal University
Course: Basic mathematics
Keywords: Left generally stable rank Left topological stable rank T-wely Dollar T-Fredholm Dollar K-theory
CLC: O177.2
Type: Master's thesis
Year: 2009
Downloads: 21
Quote: 0
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Abstract


Let A, B is a unital Banach algebra , T: A → B is continuous protection units per homomorphism Based homomorphism T defines a T-Wely yuan and T-Fredholm yuan, when T range is B , if (1) B is a, a bilateral closed ideal , lgsr (B) ≤ 2. (2) If a ∈ Fred_T (4), ind (a) = 0, then a ∈ Fred_T ~ 0 ( a). and if T (A) is closed under the reverse , KerT no order, and lgsr (A) ≤ 2, then Fred_T ~ 0 (A) in Fred_T (A) is closed .

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CLC: > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Functional Analysis > Banach spaces and their linear operator theory.
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