Diferencia entre revisiones de «Espectro de un operador»

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*Richtmyer, Robert D. (1978): ''Principles of advanced mathematical physics'', Springer-Verlag, New York, ISBN 0-387-08873-3.
 
==Ver también==
*[[Teorema de descomposición espectral]]
*[[Hamiltoniano (mecánica cuántica)]]
 
[[Categoría:Física matemática]]
[[Categoría:Análisis funcional]]
 
 
 
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The converse is true if one introduces the additional assumption that ''T'' is closed. By the [[closed graph theorem]], if ''T - λ'': ''D'' &rarr; ''X'' is bijective, then its (algebraic) inverse map is necessarily a bounded operator. (Notice the completeness of ''X'' is required in invoking the closed graph theorem.) Therefore, in contrast to the bounded case, the condition that a complex number ''λ'' lie in the spectrum of ''T'' becomes a purely algebraic one: for a closed <math>T</math>, <math>\lambda</math> is in the spectrum of <math>T</math> if and only if <math>T-\lambda</math> is not bijective.
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==Referencias==
{{reflist}}
 
==See also=Bibliografía===
*Dales et al, ''Introduction to Banach Algebras, Operators, and Harmonic Analysis'', ISBN 0-521-53584-0.
*Richtmyer, Robert D. (1978): ''Principles of advanced mathematical physics'', Springer-Verlag, New York, ISBN 0-387-08873-3.
 
==Ver también==
*[[Decomposition of spectrum (functional analysis)]]
*[[Teorema de descomposición espectral]], [[espectro esencial]].
*[[Essential spectrum]]
*[[operador autoadjunto]], [[Hamiltoniano (mecánica cuántica)]].
*[[Self-adjoint operator]]
 
[[Categoría:Física matemática]]
== References ==
[[Categoría:Análisis funcional]]
*Dales et al, ''Introduction to Banach Algebras, Operators, and Harmonic Analysis'', ISBN 0-521-53584-0
 
[[Category:Spectral theory]]
 
[[de:Spektrum (Operatortheorie)]]
*[[Decomposition of spectrumen:Spectrum (functional analysis)]]
[[it:Spettro (matematica)]]
[[he:ספקטרום (מתמטיקה)]]
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