Abstract
Let E be a separable Hilbert space, and Q = A − B : E → E be a bounded self-adjoint linear operators with B : E → E being a compact self-adjoint operator. Suppose that \(N=\ker Q\) and \(\dim N<+\infty \). \(Q|{ }_{N^{\bot }}\) is invertible. P : E → N is the orthogonal projection. We denote \(0<d\le \frac 14 \|(Q|{ }_{N^{\bot }})^{-1}\|{ }^{-1}\).
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Liu, C. (2019). Relative Morse Index. In: Index theory in nonlinear analysis. Springer, Singapore. https://doi.org/10.1007/978-981-13-7287-2_3
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DOI: https://doi.org/10.1007/978-981-13-7287-2_3
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