# On the exponential stability and dichotomy of ${C}_{0}$-semigroups

Studia Mathematica (1999)

- Volume: 132, Issue: 2, page 141-149
- ISSN: 0039-3223

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topVũ, Phóng. "On the exponential stability and dichotomy of $C_0$-semigroups." Studia Mathematica 132.2 (1999): 141-149. <http://eudml.org/doc/216591>.

@article{Vũ1999,

abstract = {A characterization of exponentially dichotomic and exponentially stable $C_0$-semigroups in terms of solutions of an operator equation of Lyapunov type is presented. As a corollary a new and shorter proof of van Neerven’s recent characterization of exponential stability in terms of boundedness of convolutions of a semigroup with almost periodic functions is given.},

author = {Vũ, Phóng},

journal = {Studia Mathematica},

keywords = {exponentially dichotomic and exponentially stable -semigroups; operator equation of Lyapunov type; exponential stability; boundedness of convolutions of a semigroup with almost periodic functions},

language = {eng},

number = {2},

pages = {141-149},

title = {On the exponential stability and dichotomy of $C_0$-semigroups},

url = {http://eudml.org/doc/216591},

volume = {132},

year = {1999},

}

TY - JOUR

AU - Vũ, Phóng

TI - On the exponential stability and dichotomy of $C_0$-semigroups

JO - Studia Mathematica

PY - 1999

VL - 132

IS - 2

SP - 141

EP - 149

AB - A characterization of exponentially dichotomic and exponentially stable $C_0$-semigroups in terms of solutions of an operator equation of Lyapunov type is presented. As a corollary a new and shorter proof of van Neerven’s recent characterization of exponential stability in terms of boundedness of convolutions of a semigroup with almost periodic functions is given.

LA - eng

KW - exponentially dichotomic and exponentially stable -semigroups; operator equation of Lyapunov type; exponential stability; boundedness of convolutions of a semigroup with almost periodic functions

UR - http://eudml.org/doc/216591

ER -

## References

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