Null spaces and ranges of polynomials of operators.

González, Manuel. "Null spaces and ranges of polynomials of operators.." Publicacions Matemàtiques 32.2 (1988): 167-170. <http://eudml.org/doc/41050>.

@article{González1988,
abstract = {We give an elementary proof of the fact that given two polynomials P, Q without common zeros and a linear operator A, the operators P(A) and Q(A) verify some properties equivalent to the pair (P(A),Q(A)) being non-singular in the sense of J.L. Taylor. From these properties we derive expressions for the range and null space of P(A) and spectral mapping theorems for polynomials fo continuous (or closed) operators in Banach spaces.},
author = {González, Manuel},
journal = {Publicacions Matemàtiques},
keywords = {Operadores lineales; Rango; Polinomios; spectral mapping theorems for polynomials of continuous (or closed) operators in Banach spaces},
language = {eng},
number = {2},
pages = {167-170},
title = {Null spaces and ranges of polynomials of operators.},
url = {http://eudml.org/doc/41050},
volume = {32},
year = {1988},
}

TY - JOUR
AU - González, Manuel
TI - Null spaces and ranges of polynomials of operators.
JO - Publicacions Matemàtiques
PY - 1988
VL - 32
IS - 2
SP - 167
EP - 170
AB - We give an elementary proof of the fact that given two polynomials P, Q without common zeros and a linear operator A, the operators P(A) and Q(A) verify some properties equivalent to the pair (P(A),Q(A)) being non-singular in the sense of J.L. Taylor. From these properties we derive expressions for the range and null space of P(A) and spectral mapping theorems for polynomials fo continuous (or closed) operators in Banach spaces.
LA - eng
KW - Operadores lineales; Rango; Polinomios; spectral mapping theorems for polynomials of continuous (or closed) operators in Banach spaces
UR - http://eudml.org/doc/41050
ER -