Generalized bicircular projections via rank preserving maps on the spaces of symmetric and antisymmetric operators

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Title:	Generalized bicircular projections via rank preserving maps on the spaces of symmetric and antisymmetric operators
Authors:	ID Fošner, Ajda (Author) ID Ilišević, Dijana (Author)
Files:	http://oam.ele-math.com/volume/5/issue/2
Language:	English
Work type:	Not categorized
Typology:	1.01 - Original Scientific Article
Organization:	IAM - Andrej Marušič Institute
Abstract:	V članku so obravnavane naslednje, med seboj povezane, preslikave na simetričnih in antisimetričnih operatorjih, ki delujejo na kompleksnem Hilbertovem prostoru: linearni ohranjevalci ranga ena na simetričnih operatorjih, linearni ohranjevalci ranga dva na antisimetričnih operatorjih, surjektivne linearne izometrije in posplošeni bicirkularni projektorji.
Keywords:	matematika, teorija operatorjev, posplošene bicirkularni projektorji, ohranjevalci ranga, simetrični operatorji, antisimetrični operatorji
Year of publishing:	2011
Number of pages:	str. 239-260
Numbering:	Vol. 5, no. 2
PID:	20.500.12556/RUP-746
ISSN:	1846-3886
UDC:	517.983
COBISS.SI-ID:	15855705
Publication date in RUP:	15.10.2013
Views:	3758
Downloads:	79
Metadata:
:	FOŠNER, Ajda and ILIŠEVIĆ, Dijana, 2011, Generalized bicircular projections via rank preserving maps on the spaces of symmetric and antisymmetric operators. [online]. 2011. Vol. 5, no. 2, p. 239–260. [Accessed 3 April 2025]. Retrieved from: http://oam.ele-math.com/volume/5/issue/2 Copy citation

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Language:	Unknown
Abstract:	We study several related maps from the space of symmetric (respectively, antisymmetric) operators, acting on a complex Hilbert space, to itself: rank preserving linear maps (more precisely, maps preserving rank one operators in the symmetric case, and maps preserving rank two operators in the antisymmetric case), surjective linear isometries and generalized bicircular projections.
Keywords:	mathematics, operator theory, generalized bicircular projections, rank preserving maps, symmetric operators, antisymmetric operators

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