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Pregled bibliografske jedinice broj: 1103701

Outer frames for Hilbert C*-modules


Arambašić, Ljiljana
Outer frames for Hilbert C*-modules // Preservers Everywhere
Szeged, Mađarska, 2017. str. 40-40 (predavanje, međunarodna recenzija, sažetak, znanstveni)


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Naslov
Outer frames for Hilbert C*-modules

Autori
Arambašić, Ljiljana

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

Skup
Preservers Everywhere

Mjesto i datum
Szeged, Mađarska, 19.06.2017. - 23.06.2017

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Hilbert C*-module ; C*-algebra ; outer frames ; modular frame

Sažetak
A Hilbert C*-module over a C*-algebra A is a right A-module X equipped with an A-valued inner product such that X is a Banach space with respect to the norm induced from A. We discuss frames in X. In this talk we present some new results in the theory of frames for countably generated Hilbert C*-modules over arbitrary C*- algebras. In investigating the nonunital case we introduce the concept of an outer frame for X - in comparison with frames for X the difference is that the elements of an outer frame for X are merely members of a multiplier module M(X) and need not belong to X. Outer frames behave very much like frames ; for example, the reconstruction property for elements of X is preserved, and the only adjointable operators on M(X) that preserve the class of frames and outer frames for X are the surjective ones. Building on a unified approach to frames and outer frames we obtain new results on dual frames, frame perturbations, tight approximations of frames and finite extensions of Bessel sequences. This is a joint work with Damir Bakić.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
HRZZ-IP-2016-06-1046 - Operatori na C*-algebrama i Hilbertovim modulima (OCAHM) (Bakić, Damir, HRZZ - 2016-06) ( CroRIS)

Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb

Profili:

Avatar Url Ljiljana Arambašić (autor)

Poveznice na cjeloviti tekst rada:

www.math.u-szeged.hu

Citiraj ovu publikaciju:

Arambašić, Ljiljana
Outer frames for Hilbert C*-modules // Preservers Everywhere
Szeged, Mađarska, 2017. str. 40-40 (predavanje, međunarodna recenzija, sažetak, znanstveni)
Arambašić, L. (2017) Outer frames for Hilbert C*-modules. U: Preservers Everywhere.
@article{article, author = {Aramba\v{s}i\'{c}, Ljiljana}, year = {2017}, pages = {40-40}, keywords = {Hilbert C\ast-module, C\ast-algebra, outer frames, modular frame}, title = {Outer frames for Hilbert C\ast-modules}, keyword = {Hilbert C\ast-module, C\ast-algebra, outer frames, modular frame}, publisherplace = {Szeged, Ma\djarska} }
@article{article, author = {Aramba\v{s}i\'{c}, Ljiljana}, year = {2017}, pages = {40-40}, keywords = {Hilbert C\ast-module, C\ast-algebra, outer frames, modular frame}, title = {Outer frames for Hilbert C\ast-modules}, keyword = {Hilbert C\ast-module, C\ast-algebra, outer frames, modular frame}, publisherplace = {Szeged, Ma\djarska} }




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