Instability, Index Theorem, and Exponent
β Zhiwu Lin, Chongchun Zeng
π Library
π
2022
π American Mathematical Society
π English
Consider a general linear Hamiltonian system β t u = JLu in a Hilbert space X. We assume that L : X β Xβ induces a bounded and symmetric bi-linear form L Β· , on X, which has only ο¬nitely many negative dimensions nβ(L). There is no restriction on the anti-self-dual operator J : Xβ β D(J) β X. We ο¬rst