English Wikipedia - The Free Encycl...
Download this dictionary
Spectrum (functional analysis)
In
mathematics
, particularly in
functional analysis
, the
spectrum
of a
bounded operator
is a generalisation of the set of
eigenvalues
of a
matrix
. Specifically, a
complex number
λ is said to be in the spectrum of a bounded linear operator
T
if λ
I
−
T
is not
invertible
, where
I
is the
identity operator
. The study of spectra and related properties is known as
spectral theory
, which has numerous applications, most notably the
mathematical formulation
of
quantum mechanics
.
See more at Wikipedia.org...
© This article uses material from
Wikipedia
®
and is licensed under the
GNU Free Documentation License
and under the
Creative Commons Attribution-ShareAlike License