Zobrazeno 1 - 10
of 86
pro vyhledávání: '"Nikolai Vasilevski"'
Autor:
Alma García, Nikolai Vasilevski
Publikováno v:
Journal of Function Spaces, Vol 2015 (2015)
We extend the known results on commutative Banach algebras generated by Toeplitz operators with radial quasi-homogeneous symbols on the two-dimensional unit ball. Spherical coordinates previously used hid a possibility to detect an essentially wider
Externí odkaz:
https://doaj.org/article/a31034b1c1194e17a2dc03c77bc94ed4
Autor:
Nikolai Vasilevski
Publikováno v:
Journal of Mathematical Sciences. 266:210-230
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::545f8a9410252ce46c18b739f44ead3d
https://doi.org/10.1007/s10958-022-05879-9
https://doi.org/10.1007/s10958-022-05879-9
Autor:
Nikolai Vasilevski
Publikováno v:
Recent Developments in Operator Theory, Mathematical Physics and Complex Analysis ISBN: 9783031214592
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::48168fd048801bda464e5048b51f80c2
https://doi.org/10.1007/978-3-031-21460-8_10
https://doi.org/10.1007/978-3-031-21460-8_10
Autor:
Nikolai Vasilevski
Publikováno v:
Complex Analysis and Operator Theory. 16
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4995dc98f6e8a5aa6deb8e7d8c5cbb10
https://doi.org/10.1007/s11785-022-01252-5
https://doi.org/10.1007/s11785-022-01252-5
Publikováno v:
Complex Variables and Elliptic Equations. 67:716-739
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5b5e92bf4cf07241b148c6241057f8f1
https://doi.org/10.1080/17476933.2021.1921757
https://doi.org/10.1080/17476933.2021.1921757
Autor:
Nikolai Vasilevski, Grigori Rozenblum
Publikováno v:
Proceedings of the Steklov Institute of Mathematics. 311:225-232
We provide sufficient conditions for Toeplitz operators with distributional symbols acting on the Bergman space on the unit disk to be trace class. The Berezin transform of distributions, introduced in the paper, yields a formula for the trace. Sever
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b9c780b4b3a33c6f4332b191d3db4f27
https://doi.org/10.1134/s0081543820060140
https://doi.org/10.1134/s0081543820060140
Publikováno v:
Trudy Matematicheskogo Instituta imeni V.A. Steklova. 311:241-249
Приведены достаточные условия ядерности операторов Тeплица с символом-распределением, действующих в пространстве Бергмана на единично
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6148216c88edd3851c5c1f8793da7940
https://doi.org/10.4213/tm4118
https://doi.org/10.4213/tm4118
Commutative algebras of Toeplitz operators on the Bergman space revisited: Spectral theorem approach
Autor:
Grigori Rozenblum, Nikolai Vasilevski
For three standard models of commutative algebras generated by Toeplitz operators in the weighted analytic Bergman space on the unit disk, we find their representations as the algebras of bounded functions of certain unbounded self-adjoint operators.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::14bb63819329c089b5165fde763136bd
http://arxiv.org/abs/2203.04170
http://arxiv.org/abs/2203.04170
Autor:
Nikolai Vasilevski
Publikováno v:
Boletín de la Sociedad Matemática Mexicana. 26:1217-1242
We study the structure of the $$C^*$$ -algebras generated by Toeplitz operators acting on the weighted Bergman space $${\mathcal {A}}^2_{\lambda }({\mathbb {B}}^2)$$ on the two-dimensional unit ball, whose symbols are invariant under the action of th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b00ad60f58cfb5beaa572e65c962474d
https://doi.org/10.1007/s40590-020-00306-y
https://doi.org/10.1007/s40590-020-00306-y
Publikováno v:
Functional Analysis and Geometry. :273-290
We consider Toeplitz operators in Bergman and Fock type spaces of polyanalytic L2-functions on the disk or on the half-plane with respect to the Lebesgue measure (resp., on C with the plane Gaussian measure). The structure involving creation and anni
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::29a66a4e7f7f0aac30ec4bb46f5a593e
https://doi.org/10.1090/conm/733/14747
https://doi.org/10.1090/conm/733/14747