A pre-order and an equivalence relation on Schur class functions and their invariance under linear fractional transformations

dc.contributor.author	Ter Horst, S.
dc.contributor.researchID	24116327 - Ter Horst, Sanne
dc.date.accessioned	2016-02-29T08:12:34Z
dc.date.available	2016-02-29T08:12:34Z
dc.date.issued	2014
dc.description.abstract	Motivated by work of Yu.L. Shmul'yan a pre-order and an equivalence relation on the set of operator-valued Schur class functions are introduced and the behavior of Redheffer linear fractional transformations (LFTs) with respect to these relations is studied. In particular, it is shown that Redheffer LFTs preserve the equivalence relation, but not necessarily the pre-order. The latter does occur under some additional assumptions on the coefficients in the Redheffer LFT	en_US
dc.description.uri	http://www.theta.ro/jot.html
dc.identifier.citation	Ter Horst, S. 2014. A pre-order and an equivalence relation on Schur class functions and their invariance under linear fractional transformations. Journal of operator theory, 72:487-520. [http://www.theta.ro/jot.html]	en_US
dc.identifier.issn	0379-4024
dc.identifier.uri	http://hdl.handle.net/10394/16473
dc.language.iso	en	en_US
dc.publisher	Theta Foundation	en_US
dc.subject	Schur class functions	en_US
dc.subject	operator pre-order	en_US
dc.subject	operator equivalence relation	en_US
dc.subject	linear fractional transformations	en_US
dc.title	A pre-order and an equivalence relation on Schur class functions and their invariance under linear fractional transformations	en_US
dc.type	Article	en_US

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