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$H^{\infty }$ functional calculus for sectorial and bisectorial operators

Tom 166 / 2005

Giovanni Dore, Alberto Venni Studia Mathematica 166 (2005), 221-241 MSC: Primary 47A60. DOI: 10.4064/sm166-3-2

Streszczenie

We give a concise exposition of the basic theory of $H^\infty$ functional calculus for $N$-tuples of sectorial or bisectorial operators, with respect to operator-valued functions; moreover we restate and prove in our setting a result of N. Kalton and L. Weis about the boundedness of the operator $f(T_1,\ldots,T_N)$ when $f$ is an R-bounded operator-valued holomorphic function.

Autorzy

  • Giovanni DoreDipartimento di Matematica
    Piazza di Porta San Donato, 5
    I-40127 Bologna, Italy
    e-mail
  • Alberto VenniDipartimento di Matematica
    Piazza di Porta San Donato, 5
    I-40127 Bologna, Italy
    e-mail

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