On the growth of analytic semigroups along vertical lines

• Autorzy: José E. Galé , Thomas José Ransford
• Języki publikacji: EN

Abstrakty

EN

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

Kategorie tematyczne

• 46J40: Structure, classification of commutative topological algebras
• 47D03: Groups and semigroups of linear operators

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2000
• Tom: 138
• Numer: 2
• Strony: 165-177

Daty

wydano

2000

otrzymano

1999-01-12

poprawiono

1999-11-15

Twórcy

autor

José E. Galé

• Departamento de Matemáticas, Universidad de Zaragoza, E-50009 Zaragoza, Spain

autor

Thomas José Ransford

• Département de mathématiques et de statistique, Université Laval, Québec, Canada G1K 7P4

Bibliografia

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