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Pregled bibliografske jedinice broj: 955894

The Birkhoff-James orthogonality in Hilbert C*-modules


Arambašić, Ljiljana; Rajić, Rajna
The Birkhoff-James orthogonality in Hilbert C*-modules // Book of Abstracts, 5th Croatian Mathematical Congress / Crnković, Dean ; Mikulić Crnković, Vedrana ; Rukavina, Sanja (ur.).
Rijeka: University of Rijeka, Department of Mathematics, 2012. str. 71-71 (predavanje, međunarodna recenzija, sažetak, znanstveni)


CROSBI ID: 955894 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
The Birkhoff-James orthogonality in Hilbert C*-modules

Autori
Arambašić, Ljiljana ; Rajić, Rajna

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
Book of Abstracts, 5th Croatian Mathematical Congress / Crnković, Dean ; Mikulić Crnković, Vedrana ; Rukavina, Sanja - Rijeka : University of Rijeka, Department of Mathematics, 2012, 71-71

ISBN
978-953-7720-13-1

Skup
5th Croatian Mathematical Congress

Mjesto i datum
Rijeka, Hrvatska, 18.06.2012. - 21.06.2012

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Birkhoff-James orthogonality ; C*-algebra ; Hilbert C*-module ; state

Sažetak
We characterize the Birkhoff-James orthogonality for elements of a Hilbert C*-module in terms of states of the underlying C*-algebra. We also show that the Birkhoff-James orthogonality in a Hilbert C*-module over a C*-algebra A, and orthogonality with respect to the A-valued inner product coincide if and only if A is isomorphic to C.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
MZOS-037-0372784-2753 - Hilbertovi C*-moduli (Guljaš, Boris, MZOS ) ( CroRIS)
MZOS-037-0372784-2755 - Ortonormirani valići i generalizirane multirezolucijske analize (Bakić, Damir, MZOS ) ( CroRIS)

Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb,
Rudarsko-geološko-naftni fakultet, Zagreb

Profili:

Avatar Url Rajna Rajić (autor)

Avatar Url Ljiljana Arambašić (autor)


Citiraj ovu publikaciju:

Arambašić, Ljiljana; Rajić, Rajna
The Birkhoff-James orthogonality in Hilbert C*-modules // Book of Abstracts, 5th Croatian Mathematical Congress / Crnković, Dean ; Mikulić Crnković, Vedrana ; Rukavina, Sanja (ur.).
Rijeka: University of Rijeka, Department of Mathematics, 2012. str. 71-71 (predavanje, međunarodna recenzija, sažetak, znanstveni)
Arambašić, L. & Rajić, R. (2012) The Birkhoff-James orthogonality in Hilbert C*-modules. U: Crnković, D., Mikulić Crnković, V. & Rukavina, S. (ur.)Book of Abstracts, 5th Croatian Mathematical Congress.
@article{article, author = {Aramba\v{s}i\'{c}, Ljiljana and Raji\'{c}, Rajna}, year = {2012}, pages = {71-71}, keywords = {Birkhoff-James orthogonality, C\ast-algebra, Hilbert C\ast-module, state}, isbn = {978-953-7720-13-1}, title = {The Birkhoff-James orthogonality in Hilbert C\ast-modules}, keyword = {Birkhoff-James orthogonality, C\ast-algebra, Hilbert C\ast-module, state}, publisher = {University of Rijeka, Department of Mathematics}, publisherplace = {Rijeka, Hrvatska} }
@article{article, author = {Aramba\v{s}i\'{c}, Ljiljana and Raji\'{c}, Rajna}, year = {2012}, pages = {71-71}, keywords = {Birkhoff-James orthogonality, C\ast-algebra, Hilbert C\ast-module, state}, isbn = {978-953-7720-13-1}, title = {The Birkhoff-James orthogonality in Hilbert C\ast-modules}, keyword = {Birkhoff-James orthogonality, C\ast-algebra, Hilbert C\ast-module, state}, publisher = {University of Rijeka, Department of Mathematics}, publisherplace = {Rijeka, Hrvatska} }




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