Some remarks on the asymptotic behaviour of the iterates of a bounded linear operator

• Autorzy: Anatoliĭ B. Antonevich , Jürgen Appell , Petr P. Zabreĭko
• Języki publikacji: EN

Abstrakty

EN

We discuss the problem of characterizing the possible asymptotic behaviour of the norm of the iterates of a bounded linear operator between two Banach spaces. In particular, given an increasing sequence of positive numbers tending to infinity, we construct Banach spaces such that the norm of the iterates of a suitable multiplication operator between these spaces assumes (or exceeds) the values of this sequence.

Kategorie tematyczne

• 47A30: Norms (inequalities, more than one norm, etc.)
• 47B38: Operators on function spaces (general)
• 46E30: Spaces of measurable functions ( L p -spaces, Orlicz spaces, K\"othe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1994-1995
• Tom: 112
• Numer: 1
• Strony: 1-11

Daty

wydano

1994

otrzymano

1993-03-23

poprawiono

1994-07-25

Twórcy

autor

Anatoliĭ B. Antonevich

• Belgosuniversitet, Matematicheskiǐ Fakul'tet, Pl. Nezavisimosti, BR-220050 Minsk, Belarus

autor

Jürgen Appell

• Universität Würzburg, Mathematisches Institut, Am Hubland, D-97074 Würzburg, Germany

autor

Petr P. Zabreĭko

• Belgosuniversitet, Matematicheskiǐ Fakul'tet, Pl. Nezavisimosti, BR-220050 Minsk, Belarus

Bibliografia

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