# On the growth of analytic semigroups along vertical lines

Studia Mathematica (2000)

- Volume: 138, Issue: 2, page 165-177
- ISSN: 0039-3223

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topGalé, José, and Ransford, Thomas. "On the growth of analytic semigroups along vertical lines." Studia Mathematica 138.2 (2000): 165-177. <http://eudml.org/doc/216696>.

@article{Galé2000,

abstract = {We construct two Banach algebras, one which contains analytic semigroups $(a^z)_\{Re z>0\}$ such that $|a^\{1+iy\}| → ∞$ arbitrarily slowly as $|y| → ∞$, the other which contains ones such that $|a^\{1+iy\}| → ∞$ arbitrarily fast},

author = {Galé, José, Ransford, Thomas},

journal = {Studia Mathematica},

keywords = {analytic semigroups},

language = {eng},

number = {2},

pages = {165-177},

title = {On the growth of analytic semigroups along vertical lines},

url = {http://eudml.org/doc/216696},

volume = {138},

year = {2000},

}

TY - JOUR

AU - Galé, José

AU - Ransford, Thomas

TI - On the growth of analytic semigroups along vertical lines

JO - Studia Mathematica

PY - 2000

VL - 138

IS - 2

SP - 165

EP - 177

AB - We construct two Banach algebras, one which contains analytic semigroups $(a^z)_{Re z>0}$ such that $|a^{1+iy}| → ∞$ arbitrarily slowly as $|y| → ∞$, the other which contains ones such that $|a^{1+iy}| → ∞$ arbitrarily fast

LA - eng

KW - analytic semigroups

UR - http://eudml.org/doc/216696

ER -

## References

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