Zobrazeno 1 - 3
of 3
pro vyhledávání: '"Aryaman Sensarma"'
Publikováno v:
Archiv der Mathematik. 118:65-72
In this note, we answer two questions about Gurariĭ spaces asked in the literature in the affirmative. We also prove the analogue of one of the results for the noncommutative Gurariĭ space.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b1d325a5a3ed00a57aadcff96af8be55
https://doi.org/10.1007/s00013-021-01674-1
https://doi.org/10.1007/s00013-021-01674-1
Publikováno v:
Linear Algebra and its Applications. 622:150-165
We study idempotent, model, and Toeplitz operators that attain the norm. Notably, we prove that if $\mathcal{Q}$ is a backward shift invariant subspace of the Hardy space $H^2(\mathbb{D})$, then the model operator $S_{\mathcal{Q}}$ attains its norm.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0be44dba26ff0c5c6531860318e24f29
https://doi.org/10.1016/j.laa.2021.03.032
https://doi.org/10.1016/j.laa.2021.03.032
Publikováno v:
Journal of Functional Analysis. 284:109834
Let $H^\infty$ denote the Banach algebra of all bounded analytic functions on the open unit disc and denote by $\mathscr{B}(H^\infty)$ the Banach space of all bounded linear operators from $H^\infty$ to itself. We prove that the Bishop-Phelps-Bollob
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::81fd83f3bceb2d8d6b86e22fee60200a
https://doi.org/10.1016/j.jfa.2022.109834
https://doi.org/10.1016/j.jfa.2022.109834