# Null spaces and ranges of polynomials of operators.

Publicacions Matemàtiques (1988)

- Volume: 32, Issue: 2, page 167-170
- ISSN: 0214-1493

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topGonzález, 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 -

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