Weighted and Controlled Continuous g-Frames and their Multipliers in Hilbert Spaces

Sayyed Mehrab RAMEZANİ [1] , Akbar NAZARİ [2]


A generalization of weighted, multiplier, controlled from frame and Bessel sequences to continuous g-frames and continuous g-Bessel sequences in Hilbert spaces is presented in this study. Moreover, we find a dual of a continuous g-frame in the case that the multiplier operator is invertible. Finally, it is demonstrated that a controlled continuous g-frame is equivalent to a continuous g-frame.

Continuous g-frame, continuous g-multiplier, weighted continuous g-frame
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Konular Mühendislik
Bölüm Makaleler
Yazarlar

Yazar: Sayyed Mehrab RAMEZANİ

Yazar: Akbar NAZARİ

Tarihler

Yayımlanma Tarihi : 1 Mayıs 2016

Bibtex @araştırma makalesi { cankujse368618, journal = {Cankaya University Journal of Science and Engineering}, issn = {}, eissn = {2564-7954}, address = {}, publisher = {Çankaya Üniversitesi}, year = {2016}, volume = {13}, pages = { - }, doi = {}, title = {Weighted and Controlled Continuous g-Frames and their Multipliers in Hilbert Spaces}, key = {cite}, author = {Ramezani̇, Sayyed Mehrab and Nazari̇, Akbar} }
APA Ramezani̇, S , Nazari̇, A . (2016). Weighted and Controlled Continuous g-Frames and their Multipliers in Hilbert Spaces . Cankaya University Journal of Science and Engineering , 13 (1) , . Retrieved from https://dergipark.org.tr/tr/pub/cankujse/issue/31481/368618
MLA Ramezani̇, S , Nazari̇, A . "Weighted and Controlled Continuous g-Frames and their Multipliers in Hilbert Spaces" . Cankaya University Journal of Science and Engineering 13 (2016 ): <https://dergipark.org.tr/tr/pub/cankujse/issue/31481/368618>
Chicago Ramezani̇, S , Nazari̇, A . "Weighted and Controlled Continuous g-Frames and their Multipliers in Hilbert Spaces". Cankaya University Journal of Science and Engineering 13 (2016 ):
RIS TY - JOUR T1 - Weighted and Controlled Continuous g-Frames and their Multipliers in Hilbert Spaces AU - Sayyed Mehrab Ramezani̇ , Akbar Nazari̇ Y1 - 2016 PY - 2016 N1 - DO - T2 - Cankaya University Journal of Science and Engineering JF - Journal JO - JOR SP - EP - VL - 13 IS - 1 SN - -2564-7954 M3 - UR - Y2 - 2020 ER -
EndNote %0 Cankaya University Journal of Science and Engineering Weighted and Controlled Continuous g-Frames and their Multipliers in Hilbert Spaces %A Sayyed Mehrab Ramezani̇ , Akbar Nazari̇ %T Weighted and Controlled Continuous g-Frames and their Multipliers in Hilbert Spaces %D 2016 %J Cankaya University Journal of Science and Engineering %P -2564-7954 %V 13 %N 1 %R %U
ISNAD Ramezani̇, Sayyed Mehrab , Nazari̇, Akbar . "Weighted and Controlled Continuous g-Frames and their Multipliers in Hilbert Spaces". Cankaya University Journal of Science and Engineering 13 / 1 (Mayıs 2016): - .
AMA Ramezani̇ S , Nazari̇ A . Weighted and Controlled Continuous g-Frames and their Multipliers in Hilbert Spaces. Cankaya University Journal of Science and Engineering. 2016; 13(1): -.
Vancouver Ramezani̇ S , Nazari̇ A . Weighted and Controlled Continuous g-Frames and their Multipliers in Hilbert Spaces. Cankaya University Journal of Science and Engineering. 2016; 13(1): -.