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Partial Isometry
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In functional analysis a partial isometry is a linear map W between Hilbert spaces H and K such that the restriction of W to the orthogonal complement of its kernel is an isometry. We call the orthogonal complement of the kernel of W the initial subspace of W, and the range of W is called the final subspace of W. Any unitary operator on H is a partial isometry with initial and final subspaces being all of H. The concept of partial isometry can be defined in other equivalent ways. If U is an isometric map defined on a closed subset H1 of a Hilbert space H then we can define an extension W of U to all of H by the condition that W be zero on the orthogonal complement of H1. Thus a partial isometry is also sometimes defined as a closed partially defined isometric map.
Weitere Informationen
- Allgemeine Informationen
- GTIN 09786131259708
- Editor Lambert M. Surhone, Mariam T. Tennoe, Susan F. Henssonow
- Größe H220mm x B220mm
- EAN 9786131259708
- Format Fachbuch
- Titel Partial Isometry
- Herausgeber Betascript Publishing
- Anzahl Seiten 68
- Genre Mathematik
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