Fusion frames and g-frames in Hilbert Spaces and Hilbert C*-Module

Küçük Resim Yok

Tarih

2009

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Maltepe Üniversitesi

Erişim Hakkı

CC0 1.0 Universal
info:eu-repo/semantics/openAccess

Araştırma projeleri

Organizasyon Birimleri

Dergi sayısı

Özet

Fusion frames and g-frames were recently introduced as generalizations of frames. In this note we study their properties in Hilbert spaces and Hilbert C*-modules and we generalize some of the known results in frame theory to fusion frames and g-frames. We study the behavior of these generalized frames under mall perturbations. We also show that tensor product of fusion frames (g-frames) is a fusion frame (g-frame) and tensor product of resolution of identity is a resolution of identity in Hilbert spaces and Hilbert C*-modules.

Açıklama

Anahtar Kelimeler

Frame, fusion frame, g-frame, Hilbert C*-module, duality, perturbation

Kaynak

International Conference on Mathematical Sciences

WoS Q Değeri

Scopus Q Değeri

Cilt

Sayı

Künye

Khosravi, A. (2009). Fusion frames and g-frames in Hilbert Spaces and Hilbert C*-Module. International Conference on Mathematical Sciences, Maltepe Üniversitesi. s. 41-42.