For any point P on a vector lattice with the principal projection property, a theorem denoted by this term proved by Hans Freudenthal states that there exists sequences of p-simple functions that converge to any element of the ideal of
For any point P on a vector lattice with the principal projection property, a theorem denoted by this term proved by Hans Freudenthal states that there exists sequences of p-simple functions that converge to any element of the ideal of P. In functional analysis, the set denoted by this term is often invoked in ergodic theory and has the property that von-Neumann's inequality holds for rational functions for some subsets of the set. Another theorem named for this term states that a bounded operator on a Hilbert space always admits invariant subspaces and commutes with its Hermitian adjoint if and only if the operator is a multiplication operator. Cauchy proved a special case of the theorem denoted by this term for self-adjoint matrices, which involves a namesake operation that decomposes a matrix into the matrices "U times capital lambda times Utranspose." For 10 points, give this term for the set of eigenvalues of a finite-dimensional matrix.
For any point P on a vector lattice with the principal projection property, a theorem denoted by this term proved by Hans Freudenthal states that there exists sequences of p-simple functions that converge to any element of the ideal of
spectrum [or  spectral]