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Extension of Isometries
- Authors
- Jung, S.-M.
- Issue Date
- 2023
- Publisher
- Springer Science and Business Media Deutschland GmbH
- Citation
- Frontiers in Mathematics, v.Part F808, pp.91 - 133
- Journal Title
- Frontiers in Mathematics
- Volume
- Part F808
- Start Page
- 91
- End Page
- 133
- ISSN
- 1660-8046
- Abstract
- In this chapter, we define the first- and second-order generalized spans and the index set, examine their properties, and apply them to the study of the extension of isometries. To this end, we develop a theory that extends the domain of local isometries to the generalized spans, where we call an isometry defined in a subset of a Hilbert space a local isometry. © 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG.
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