Spectral properties of certain operators on the free Hilbert space \mathfrak{F}[H_{1},...,H_{N}] and the semicircular law
In this paper, we fix \(N\)-many \(l^2\)-Hilbert spaces \(H_k\) whose dimensions are \(n_{k} \in \mathbb{N}^{\infty}=\mathbb{N} \cup \{\infty\}\), for \(k=1,\ldots,N\), for \(N \in \mathbb{N}\setminus\{1\}\). And then, construct a Hilbert space \(\mathfrak{F}=\mathfrak{F}[H_{1},\ldots,H_{N}]\) induc...
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| Format: | article |
| Language: | EN |
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AGH Univeristy of Science and Technology Press
2021
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| Online Access: | https://doi.org/10.7494/OpMath.2021.41.6.755 https://doaj.org/article/17b587ffd90944e5907aee5bf60351e5 |
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