Perturbation of Toeplitz operators and reflexivity

• Autorzy: Kamila Kliś-Garlicka
• Języki publikacji: EN

Abstrakty

EN

It was shown that the space of Toeplitz operators perturbated by finite rank operators is 2-hyperreflexive.

• Wydawca: Wydawnictwo Naukowe Uniwersytetu Pedagogicznego
• Czasopismo: Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
• Rocznik: 2014
• Tom: 13

Daty

wydano

2014-12-01

otrzymano

2014-01-25

poprawiono

2014-04-26

online

2014-12-11

Twórcy

autor

Kamila Kliś-Garlicka

• Institute of Mathematics University of Agriculture Balicka 253c 30-198 Kraków Poland

Bibliografia

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• [6] K. Klis-Garlicka, Rank-one perturbation of Toeplitz operators and reflexivity, Opuscula Math. 32 (2012), 505-509. Cited on 15 and 16.
• [7] K. Klis, M. Ptak, k-hyperreflexive subspaces, Houston J. Math. 32 (2006), 299-313. Cited on 16 and 17.
• [8] J. Kraus, D. Larson, Some applications of a technique for constructing reflexive operator algebras, J. Operator Theory, 13 (1985), 227-236. Cited on 16.
• [9] J. Kraus, D. Larson, Reflexivity and distance formulae, Proc. London Math. Soc. 53 (1986), 340-356. Cited on 15 and 16.
• [10] W.E. Longstaff, On the operation Alg Lat in finite dimensions, Linear Algebra Appl. 27 (1979), 27-29. Cited on 15.[Crossref]
• [11] H. Mustafayev, On hyper-reflexivity of some operator spaces, Internat. J. Math. Math. Sci., 19 (1996), 603-606. Cited on 17.[Crossref]

Identyfikatory

DOI

10.2478/aupcsm-2014-0002