13 citations · 17 across the 10 of their papers we have counts for
10 papers
-theory of relative group -algebras and the relative Novikov conjecture
Jintao Deng, Geng Tian, Zhizhang Xie +1
The relative Novikov conjecture states that the relative higher signatures of manifolds with boundary are invariant under orientation-preserving homotopy equivalences of pairs. In…
Angles and Schauder basis in Hilbert spaces
Bingzhe Hou, Yang Cao, Geng Tian +1
Let be a complex separable Hilbert space. We prove that if is a Schauder basis of the Hilbert space , then the angles between…
Cowen-Douglas Operator and Shift on Basis
Juexian Li, Geng Tian, Yang Cao
In this paper we show a Cowen-Douglas operator is the adjoint operator of some backward shift on a general basis by choosing nice cross-sections of its c…
Schauder Bases and Operator Theory III: Schauder Spectrums
Yang Cao, Geng Tian, Bingzhe Hou
In this paper, we study spectrums of Schauder operators. We show that we always can choose a Schauder operator in a given orbit such that the Schauder spectrum of it is empty.
Spectrums of equivalent Schauder operators
Luoyi Shi, Yang Cao, Geng Tian
Assume that are equivalent Schauder operators. In this paper, we show that even in this case their Schauder spectrum may be very different in the view of operator theory.…
Schauder Bases and Operator Theory II: (SI) Schauder Operators
Geng Tian, Youqing Ji, Yang Cao
In this paper, we will show that for an operator which is injective and has dense range, there exists an invertible operator (in fact we can find , where is an uni…