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pro vyhledávání: '"Sampat, Jeet"'
Autor:
Sampat, Jeet, Shalit, Orr
We study operator algebraic and function theoretic aspects of algebras of bounded nc functions on subvarieties of the nc domain determined by all levels of the unit ball of an operator space (nc operator balls). Our main result is the following class
Externí odkaz:
http://arxiv.org/abs/2411.09372
Autor:
Sampat, Jeet
In this survey, we consider Banach spaces of analytic functions in one and several complex variables for which: (i) polynomials are dense, (ii) point-evaluations on the domain are bounded linear functionals, and (iii) the shift operator corresponding
Externí odkaz:
http://arxiv.org/abs/2409.10224
Autor:
Mironov, Mikhail, Sampat, Jeet
For a (not necessarily locally convex) topological vector space $\mathcal{X}$ of holomorphic functions in one complex variable, we show that the shift invariant subspace generated by a set of polynomials is $\mathcal{X}$ if and only if their common v
Externí odkaz:
http://arxiv.org/abs/2407.15997
Autor:
Sampat, Jeet, Shalit, Orr
We study algebras of bounded noncommutative (nc) functions on unit balls of operator spaces (nc operator balls) and on their subvarieties. Considering the example of the nc unit polydisk we show that these algebras, while having a natural operator al
Externí odkaz:
http://arxiv.org/abs/2310.03564
Autor:
Sampat, Jeet, Shalit, Orr Moshe
Publikováno v:
In Journal of Functional Analysis 15 January 2025 288(2)
Autor:
Sampat, Jeet
For spaces of analytic functions defined on an open set in $\mathbb{C}^n$ that satisfy certain nice properties, we show that operators that preserve shift-cyclic functions are necessarily weighted composition operators. Examples of spaces for which t
Externí odkaz:
http://arxiv.org/abs/2008.10558
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