Extremal Extensions of the Tensor Product of Nonnegative Operators | Zendy

Nafalska Maria Magdalena | Zendy

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Extremal Extensions of the Tensor Product of Nonnegative Operators

Author(s) -

Nafalska Maria Magdalena

Publication year - 2009

Publication title -

pamm

Language(s) - English

Resource type - Journals

ISSN - 1617-7061

DOI - 10.1002/pamm.200910299

Subject(s) - tensor product , mathematics , class (philosophy) , extension (predicate logic) , separable space , product (mathematics) , pure mathematics , hilbert space , von neumann architecture , tensor product of hilbert spaces , tensor (intrinsic definition) , algebra over a field , mathematical analysis , computer science , tensor contraction , geometry , artificial intelligence , programming language

For densely defined nonnegative operators A and B acting in separable Hilbert spaces we describe the Friedrichs and the Krein‐von Neumann extension of the tensor product $A \hat\otimes B$ . Moreover, we discuss the class of extremal extensions of $A \hat\otimes B$ . An application is presented as well. (© 2009 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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