Conjugations in L2 and their invariants

Maria Cristina Câmara , Kamila Kliś-Garlicka , Bartosz Łanucha , Marek Ptak

Abstract

Conjugations in space L2 of the unit circle commuting with multiplication by z or intertwining multiplications by z and z¯ are characterized. We also study their behaviour with respect to the Hardy space, subspaces invariant for the unilateral shift and model spaces.
Author Maria Cristina Câmara - University of Lisbon (UL)
Maria Cristina Câmara,,
-
, Kamila Kliś-Garlicka (FoEEaLS / DoAM)
Kamila Kliś-Garlicka,,
- Department of Applied Mathematics
, Bartosz Łanucha - Maria Curie-Sklodowska University in Lublin (UMCS)
Bartosz Łanucha,,
-
, Marek Ptak (FoEEaLS / DoAM)
Marek Ptak,,
- Department of Applied Mathematics
Journal seriesAnalysis and Mathematical Physics, ISSN 1664-2368, e-ISSN 1664-235X, (N/A 100 pkt)
Issue year2020
Vol10
No2
Pages1-14
Publication size in sheets0.65
Article number 22
Keywords in EnglishConjugation, C–symmetric operator, Hardy space, Invariant subspaces for the unilateral shift, Model space, Truncated Toeplitz operator
ASJC Classification2602 Algebra and Number Theory; 2603 Analysis; 2610 Mathematical Physics
DOIDOI:10.1007/s13324-020-00364-5
URL https://link.springer.com/content/pdf/10.1007/s13324-020-00364-5.pdf
Languageen angielski
LicenseJournal (articles only); author's original; Uznanie Autorstwa (CC-BY); after publication
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Conjugations in L2 and their invariants of 04-05-2020
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Score (nominal)100
Score sourcejournalList
Publication indicators WoS Citations = 0; Scopus SNIP (Source Normalised Impact per Paper): 2018 = 0.933; WoS Impact Factor: 2018 = 1.792 (2) - 2018=1.193 (5)
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FinansowanieThe work of the first author was partially supported by FCT/Portugal through UID/MAT/04459/2019 and the research of the second and the fourth authors was financed by the Ministry of Science and Higher Education of the Republic of Poland.
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