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Displaying similar documents to “Multiplicative characterization of Hilbert spaces and other interesting classes of Banach spaces.”

The spectrally bounded linear maps on operator algebras

Jianlian Cui, Jinchuan Hou (2002)

Studia Mathematica

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We show that every spectrally bounded linear map Φ from a Banach algebra onto a standard operator algebra acting on a complex Banach space is square-zero preserving. This result is used to show that if Φ₂ is spectrally bounded, then Φ is a homomorphism multiplied by a nonzero complex number. As another application to the Hilbert space case, a classification theorem is obtained which states that every spectrally bounded linear bijection Φ from ℬ(H) onto ℬ(K), where H and K are infinite-dimensional...

Mittag-Leffler methods in analysis.

Jorge Mújica (1995)

Revista Matemática de la Universidad Complutense de Madrid

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In this survey we present two Mittag-Leffler lemmas and several applications to topics as varied as the delta-equation, Fréchet algebras, inductive limits of Banach spaces and quasi-normable Fréchet spaces.