# Resolvent and spectrum of a nonselfadjoint differential operator in a Hilbert space

Annales UMCS, Mathematica (2012)

- Volume: 66, Issue: 1, page 25-39
- ISSN: 2083-7402

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topMichael Gil. "Resolvent and spectrum of a nonselfadjoint differential operator in a Hilbert space." Annales UMCS, Mathematica 66.1 (2012): 25-39. <http://eudml.org/doc/268249>.

@article{MichaelGil2012,

abstract = {We consider a second order regular differential operator whose coefficients are nonselfadjoint bounded operators acting in a Hilbert space. An estimate for the resolvent and a bound for the spectrum are established. An operator is said to be stable if its spectrum lies in the right half-plane. By the obtained bounds, stability and instability conditions are established.},

author = {Michael Gil},

journal = {Annales UMCS, Mathematica},

keywords = {Abstract differential operator; spectrum; resolvent; stability; instability; abstract differential operator},

language = {eng},

number = {1},

pages = {25-39},

title = {Resolvent and spectrum of a nonselfadjoint differential operator in a Hilbert space},

url = {http://eudml.org/doc/268249},

volume = {66},

year = {2012},

}

TY - JOUR

AU - Michael Gil

TI - Resolvent and spectrum of a nonselfadjoint differential operator in a Hilbert space

JO - Annales UMCS, Mathematica

PY - 2012

VL - 66

IS - 1

SP - 25

EP - 39

AB - We consider a second order regular differential operator whose coefficients are nonselfadjoint bounded operators acting in a Hilbert space. An estimate for the resolvent and a bound for the spectrum are established. An operator is said to be stable if its spectrum lies in the right half-plane. By the obtained bounds, stability and instability conditions are established.

LA - eng

KW - Abstract differential operator; spectrum; resolvent; stability; instability; abstract differential operator

UR - http://eudml.org/doc/268249

ER -

## References

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