Operator theory and function theory in Drury-Arveson space and its quotients
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2013
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| _version_ | 1866913674237575168 |
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| author | Hartz, Michael Shalit, Orr |
| author_facet | Hartz, Michael Shalit, Orr |
| contents | The Drury-Arveson space $H^2_d$, also known as symmetric Fock space or the $d$-shift space, is a Hilbert function space that has a natural $d$-tuple of operators acting on it, which gives it the structure of a Hilbert module. This survey aims to introduce the Drury-Arveson space, to give a panoramic view of the main operator theoretic and function theoretic aspects of this space, and to describe the universal role that it plays in multivariable operator theory and in Pick interpolation theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1308_1081 |
| institution | arXiv |
| publishDate | 2013 |
| record_format | arxiv |
| spellingShingle | Operator theory and function theory in Drury-Arveson space and its quotients Hartz, Michael Shalit, Orr Functional Analysis Complex Variables Operator Algebras The Drury-Arveson space $H^2_d$, also known as symmetric Fock space or the $d$-shift space, is a Hilbert function space that has a natural $d$-tuple of operators acting on it, which gives it the structure of a Hilbert module. This survey aims to introduce the Drury-Arveson space, to give a panoramic view of the main operator theoretic and function theoretic aspects of this space, and to describe the universal role that it plays in multivariable operator theory and in Pick interpolation theory. |
| title | Operator theory and function theory in Drury-Arveson space and its quotients |
| topic | Functional Analysis Complex Variables Operator Algebras |
| url | https://arxiv.org/abs/1308.1081 |