Algebraic distance between submodules
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We investigate the algebraic distance between closed and orthogonaly complemented submodules of a Hilbert C-module, which is defined as the norm of a difference
of corresponding orthogonal projections. Some results are proved using 2×2 decompositions
of adjointable operators.
Keywords:
Hilbert C∗-modules / orthogonal projections / algebraic distance between submodulesSource:
Bulletin T.CLII de l’Académie serbe des sciences et des arts, 2019, 75-89Publisher:
- Beograd : Académie Serbe des sciences et des arts
Funding / projects:
- Functional analysis, stochastic analysis and applications (RS-MESTD-Basic Research (BR or ON)-174007)
Note:
- Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles. Sciences mathématiques. 44, 152 (2019).
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Cрпска академија наука и уметности / Serbian Academy of Sciences and ArtsTY - JOUR AU - Đorđević, Dragan S. PY - 2019 UR - https://dais.sanu.ac.rs/123456789/12104 AB - We investigate the algebraic distance between closed and orthogonaly complemented submodules of a Hilbert C-module, which is defined as the norm of a difference of corresponding orthogonal projections. Some results are proved using 2×2 decompositions of adjointable operators. PB - Beograd : Académie Serbe des sciences et des arts T2 - Bulletin T.CLII de l’Académie serbe des sciences et des arts T1 - Algebraic distance between submodules SP - 75 EP - 89 UR - https://hdl.handle.net/21.15107/rcub_dais_12104 ER -
@article{ author = "Đorđević, Dragan S.", year = "2019", abstract = "We investigate the algebraic distance between closed and orthogonaly complemented submodules of a Hilbert C-module, which is defined as the norm of a difference of corresponding orthogonal projections. Some results are proved using 2×2 decompositions of adjointable operators.", publisher = "Beograd : Académie Serbe des sciences et des arts", journal = "Bulletin T.CLII de l’Académie serbe des sciences et des arts", title = "Algebraic distance between submodules", pages = "75-89", url = "https://hdl.handle.net/21.15107/rcub_dais_12104" }
Đorđević, D. S.. (2019). Algebraic distance between submodules. in Bulletin T.CLII de l’Académie serbe des sciences et des arts Beograd : Académie Serbe des sciences et des arts., 75-89. https://hdl.handle.net/21.15107/rcub_dais_12104
Đorđević DS. Algebraic distance between submodules. in Bulletin T.CLII de l’Académie serbe des sciences et des arts. 2019;:75-89. https://hdl.handle.net/21.15107/rcub_dais_12104 .
Đorđević, Dragan S., "Algebraic distance between submodules" in Bulletin T.CLII de l’Académie serbe des sciences et des arts (2019):75-89, https://hdl.handle.net/21.15107/rcub_dais_12104 .