Displaying similar documents to “Structures of left n-invertible operators and their applications”

Remarks on natural differential operators with tensor fields

Josef Janyška (2019)

Archivum Mathematicum

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We study natural differential operators transforming two tensor fields into a tensor field. First, it is proved that all bilinear operators are of order one, and then we give the full classification of such operators in several concrete situations.

Some classes of multilinear operators on C(K) spaces

Fernando Bombal, Maite Fernández, Ignacio Villanueva (2001)

Studia Mathematica

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We obtain a classification of projective tensor products of C(K) spaces according to whether none, exactly one or more than one factor contains copies of ℓ₁, in terms of the behaviour of certain classes of multilinear operators on the product of the spaces or the verification of certain Banach space properties of the corresponding tensor product. The main tool is an improvement of some results of Emmanuele and Hensgen on the reciprocal Dunford-Pettis and Pełczyński's (V) properties of...

Once more on positive commutators

Roman Drnovšek (2012)

Studia Mathematica

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Let A and B be bounded operators on a Banach lattice E such that the commutator C = AB - BA and the product BA are positive operators. If the product AB is a power-compact operator, then C is a quasi-nilpotent operator having a triangularizing chain of closed ideals of E. This answers an open question posed by Bračič et al. [Positivity 14 (2010)], where the study of positive commutators of positive operators was initiated.