Translation for 'eigenspace' from English to Italian

eigenspace

autospazio {m}mat.

• Indeed, if "G" acts on a vector space "V" over F, each simultaneous eigenspace for every element of "G", if such exists, determines a multiplicative character on "G": the eigenvalue on this common eigenspace of each element of the group.
• Under the exponential map, "P" is diffeomorphic to the -1 eigenspace of τ in the Lie algebra of "G".
• In particular, "A" is "orthogonally diagonalizable", since one may take a basis of each eigenspace and apply the Gram-Schmidt process separately within the eigenspace to obtain an orthonormal eigenbasis.
• However, if the equilibrium has eigenvalues whose real part is zero, then the corresponding (generalized) eigenvectors form the "center eigenspace"—for a ball, the center eigenspace is the entire set of unforced rigid body dynamics.
• the dimension of the eigenspace for eigenvalue 1.

• ("E") is a self-adjoint operator on "H" whose 1-eigenspace is the states Φ for which the value of the observable always lies in "E", and whose 0-eigenspace is the states Φ for which the value of the observable never lies in "E".
• In non-uniform scaling only the vectors that belong to an eigenspace will retain their direction.
• The important concepts directly related to operators between finite-dimensional vector spaces are the ones of rank, determinant, inverse operator, and eigenspace.
• Recall that the "geometric" multiplicity of an eigenvalue can be described as the dimension of the associated eigenspace, the nullspace of [...].
• is the group of Möbius transformations; the superscript minus-sign indicates the (−1)-eigenspace for the involution induced by complex conjugation.

• The operators "K" − "λI" and "K"* − "λI" are Fredholm operators of index 0 for λ ≠ 0, so any spectral value of "K" or "K"* is an eigenvalue and the corresponding eigenspaces are finite-dimensional.
• The dimension of the generalized eigenspace corresponding to a given eigenvalue [...] is the algebraic multiplicity of [...].
• is not diagonalizable, the module "L" has nested submodules given by generalized eigenspaces of [...] , and the normal basis elements "β" are those outside the largest proper generalized eigenspace, the elements with [...].