Polar Decomposition for Non-Adjointable Maps
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866911306077962240 |
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| author | Skeide, Michael |
| author_facet | Skeide, Michael |
| contents | We give conditions when not necessarily adjointable operators between Hilbert modules allow for a polar decomposition involving not necessarily adjointable partial isometries. While the latter have been introduced and discussed by Shalit and Skeide [SS23,Ske25], here we are led, as a basic new ingredient, to the notion of not necessarily adjointable operators $a$ that admit a modulus $|a|$, so-called modular operators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_06335 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Polar Decomposition for Non-Adjointable Maps Skeide, Michael Operator Algebras Functional Analysis 46L08 We give conditions when not necessarily adjointable operators between Hilbert modules allow for a polar decomposition involving not necessarily adjointable partial isometries. While the latter have been introduced and discussed by Shalit and Skeide [SS23,Ske25], here we are led, as a basic new ingredient, to the notion of not necessarily adjointable operators $a$ that admit a modulus $|a|$, so-called modular operators. |
| title | Polar Decomposition for Non-Adjointable Maps |
| topic | Operator Algebras Functional Analysis 46L08 |
| url | https://arxiv.org/abs/2512.06335 |