Fractional-linear transformations of operator balls; applications to dynamical systems
type: Item
instance of: scholarly article
title: Fractional-linear transformations of operator balls; applications to dynamical systems
zbMATH Open document ID: 1125.47030
publication date: 2007-05-24T00:00:00Z
review text: The authors deduce new criteria for convexity, compactness and nonemptyness of some special operator sets. They apply their methods in order to provide examples of certain operator sets which are nonconvex, noncompact in the weak topology and nonempty, and are generated by smooth operators in a special class.
reviewed by: Bogdan Sasu
Mathematics Subject Classification ID: 47B50
Mathematics Subject Classification ID: 47A53
Mathematics Subject Classification ID: 34D09
Mathematics Subject Classification ID: 34G10
Mathematics Subject Classification ID: 47N20
zbMATH DE Number: 5156863
zbMATH Keywords: compactness
zbMATH Keywords: convexity
zbMATH Keywords: linear fractional relation
zbMATH Keywords: operator ball
zbMATH Keywords: Krein space
author: Victor A. Khatskevich
author: Valerii A. Senderov
MaRDI profile type: Publication
full work available at URL: s10114-005-0694-2
OpenAlex ID: W2395496214
cites work: Q4317808
cites work: Operator fractional-linear transformations: convexity and compactness of image; applications
cites work: Q4889523
cites work: Q4336957
cites work: Generalized fractional linear transformations: convexity and compactness of the image and the pre-image; applications.
cites work: Q4952474
cites work: On the convexity, compactness, and nonemptiness of images and preimages of linear fractional operator relations
cites work: Q3746364
cites work: Q4102309
cites work: Q5585688
DOI: 10.1007/S10114-005-0694-2
published in: Acta Mathematica Sinica, English Series
description: scientific article; zbMATH DE number 5156863