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Isometries of Grassmann spaces, IIGehér, György Pál ; Šemrl, PeterBotelho, Jamison in Molnár [F. Botelho, J. Jamison, L. Molnár, Surjective isometries on Grassmann spaces, J. Funct. Anal. 265 (2013) 2226-2238] ter Gehér in Šemrl [G.P. Gehér, P. Šemrl, Isometries of ... Grassmann spaces, J. Funct. Anal. 270 (2016) 1585-1601] so nedavno opisali splošno obliko surjektivnih izometrij Grassmannovih prostorov vseh projektorjev fiksnega končnega ranga delujočih na Hilbertovem prostoru ▫$H$▫. Kot direktno posledico lahko opišemo splošno obliko surjektivnih izometrij Grassmannovih prostorov vseh projektorjev fiksnega končnega koranga. V tem članku rešimo edini še preostali strukturni problem za surjektivne izometrije na ▫$P_\infty (H)$▫, Grassmannovem prostoru vseh projektorjev z neskončno dimenzionalno sliko in neskončno dimenzionalnim jedrom. Ideja je povsem drugačna od tistih uporabljenih v omenjenih člankih, in temelji na študiju geodetk. Ta metoda omogoča alternativne dokaze že prej znanih izrekov.Source: Advances in mathematics. - ISSN 0001-8708 (Vol. 332, July 2018, str. 287-310)Type of material - article, component part ; adult, seriousPublish date - 2018Language - englishCOBISS.SI-ID - 18384473
Author
Gehér, György Pál |
Šemrl, Peter
Topics
izometrije |
Grassmannovi prostori |
projektorji |
podprostori |
metrika razmika |
geodetke |
isometry |
Grassmann space |
projection |
subspace |
gap metric |
geodesic structure
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Database name | Field | Year |
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Gehér, György Pál | |
Šemrl, Peter | 05953 |
Source: Personal bibliographies
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