Page 529 - Advanced Linear Algebra
P. 529
Index of Symbols
*´ ²%³µ: the companion matrix of ²%³
²%³: characteristic polynomial of
crk²(³: column rank of (
cs²(³: column space of (
diag²( ÁÃÁ( ³: a block diagonal matrix with ( 's on the block diagonal
ElemDiv²³: the multiset of elementary divisors
InvFact²³: the multiset of invariant factors of
@ ²Á ³: Jordan block
Á
²%³: minimal polynomial of
null²³: the nullity of
: : canonical projection modulo :
9 : Riesz vector for = i
rk²³: the rank of
rrk²(³: row rank of (
rs²(³: row space of (
(Á) : projection onto along ( )
( : the multiplication by operator(
supp² ³: the support of a function
= : the -vector space/ -´%µ-module where ²%³# ~ ² ³#
-
= d = : the complexification of
: assignment, for example, " º:» means that " stands for º:»
: subspace or submodule
: proper subspace or proper submodule
º:»: subspace/ideal spanned by :
ºº:»»: submodule spanned by :
Æ ¢ an embedding that is an isomorphism when all is finite-dimensional.
: similarity of matrices or operators, associate in a ring.
d : cartesian product
p : orthogonal direct sum
` : external direct product
^ : external direct sum
l : internal direct sum
:
% & means º%Á&» ~ º&Á%»
