Decomposition of spectrum (functional analysis)
（重定向自Residual spectrum）
The spectrum of a linear operator ![T](/Images/godic/202502/07/b9ece18c950afbfa6b0fdbfa4ff731d35957.png")
that operates on a Banach space ![X](/Images/godic/202502/07/02129bb861061d1a052c592e2dc6b3835957.png")
(a fundamental concept of functional analysis) consists of all scalars ![\lambda](/Images/godic/202502/07/e05a30d96800384dd38b22851322a6b55957.png")
such that the operator ![T-\lambda](/Images/godic/202502/07/a48f27b423b94620d919ffc947d9a1745957.png")
does not have a bounded inverse on . The spectrum has a standard decomposition into three parts: