J\"urgen Appell, Marilda A. Sim\~oes, Petr P. Zabrejko

J\"urgen Appell, Marilda A. Sim\~oes, Petr P. Zabrejko
On the ${\cal L}$-characteristic of fractional powers of linear operators

Comment.Math.Univ.Carolinae 35,1 (1994) 21-34.

Abstract:We describe the geometric structure of the ${\cal L}$-characteristic of fractional powers of bounded or compact linear operators over domains with arbitrary measure. The description builds essentially on the Riesz-Thorin and Marcinkiewicz-Stein-Weiss- Ovchinnikov interpolation theorems, as well as on the Krasnosel'skij-Krejn factorization theorem.

Keywords: fractional powers of operators, $L$-characteristic, Lebesgue spaces, interpolation theorems
AMS Subject Classification: 47A57, 47B37, 47B38, 46E30

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J\"urgen Appell, Marilda A. Sim\~oes, Petr P. Zabrejko On the ${\cal L}$-characteristic of fractional powers of linear operators

J\"urgen Appell, Marilda A. Sim\~oes, Petr P. Zabrejko
On the ${\cal L}$-characteristic of fractional powers of linear operators