Controlled Continuous g-Frames in Hilbert C^*-Modules

[1] Ali, S.T., Antoine, J.P. and Gazeau, J.P., continuous frames in Hilbert spaces, Annals of physics 222 (1993), 1-37.10.1006/aphy.1993.1016Search in Google Scholar

[2] Alizadeh Yahya and Mohammad Reza Abdollahpour, Controlled Continuous G-Frames and Their Multipliers in Hilbert Spaces, Sahand Communications in Mathematical Analysis (SCMA) Vol. 15 No. 1 (2019), 37-48.Search in Google Scholar

[3] Arambašić, L., On frames for countably generated Hilbert C -modules, Proc. Amer. Math. Soc. 135 (2007) 469-478.10.1090/S0002-9939-06-08498-XSearch in Google Scholar

[4] Christensen, O., An Introduction to Frames and Riesz bases, Brikhouser,(2016).10.1007/978-3-319-25613-9Search in Google Scholar

[5] Conway, J.B., A Course In Operator Theory, 372 pages. Americain Mathematical Society,V.21,(2000).Search in Google Scholar

[6] Daubechies, I., Grossmann, A., and Meyer, Y., Painless nonorthogonal expansions, J. Math. Phys. 27 (1986), 1271-1283.10.1063/1.527388Search in Google Scholar

[7] Davidson, F. R., C*-algebra by example, 309 pages, Fields Institute monographes. Monog. (1996).10.1090/fim/006Search in Google Scholar

[8] Duffin, R. J., Schaeffer, A. C., A class of nonharmonic fourier series, Trans. Amer. Math. Soc. 72 (1952), 341-366.10.1090/S0002-9947-1952-0047179-6Search in Google Scholar

[9] Dunford, N., and Schwartz, J. T., Linear Operators. I. General Theory, vol. 7 of Pure and Applied Mathematics, Interscience, New York, NY, USA, (1958).Search in Google Scholar

[10] Frank, M., Larson, D. R., Frames in Hilbert C^*-modules and C^*-algebras, J. Oper. Theory 48 (2002), 273-314.Search in Google Scholar

[11] Gabardo, J. P., and Han, D., Frames associated with measurable space, Adv. Comp. Math. 18 (2003), no. 3, 127-147.10.1023/A:1021312429186Search in Google Scholar

[12] Gabor, D., Theory of communications, J. Elec. Eng. 93 (1946), 429-457.10.1049/ji-3-2.1946.0076Search in Google Scholar

[13] Kouchi Mehdi Rashidi and Nazari Akbar, Continuous g-frames in Hilbert C^*-modules, Hindawi Publishing Corporation Abstract and Applied Analysis Volume (2011), Article ID 361595, 20 pages.10.1155/2011/361595Search in Google Scholar

[14] Lance, E. C., Hilbert C^*-Modules: A Toolkit for Operator Algebraist, 144 pages, vol. 210 of London Mathematical Society Lecture Note Series, Cambridge University Press, Cambridge, UK, (1995).Search in Google Scholar

[15] Paschke, W., Inner product modules over B^*-algebras, Trans. Amer. Math. Soc., (182)(1973), 443-468.10.1090/S0002-9947-1973-0355613-0Search in Google Scholar

[16] Rahmani, A., Najati, A. and Y.N.Deghan, Continuous frames in Hilbert spaces, methods of Functional Analysis and Topology Vol. 12(2), (2006), 170-182.Search in Google Scholar

[17] Rahmani, M., On Some properties of c-frames, J.Math.Res.Appl, Vol. 37(4), (2017), 466-476.Search in Google Scholar

[18] Rahmani, M., Sum of c-frames, c-Riesz Bases and orthonormal mapping, U.P.B.Sci. Bull, Series A,Vol.77(3), (2015), 3-14Search in Google Scholar

[19] Rossafi, M. and Kabbaj, S., *-g-frames in tensor products of Hilbert C^*-modules, Ann. Univ. Paedagog. Crac. Stud. Math. 17 (2018), 15-24.10.2478/aupcsm-2018-0002Search in Google Scholar

[20] Rossafi, M. and Kabbaj, S., *-K-g-frames in Hilbert C^*-modules, Journal of Linear and Topological Algebra Vol. 07, No. 01, (2018), 63-71.Search in Google Scholar

[21] Rossafi, M., Touri,A., Labrigui, H., and Akhlidj, A., Continuous *-K-G-Frame in Hilbert C^*-Modules, Journal of Function Spaces, vol. (2019), Article ID 2426978, 5 pages.10.1155/2019/2426978Search in Google Scholar

[22] Rossafi, M. and Kabbaj, S., Generalized Frames for B(𝒣, 𝒦), accepted for publication in Iranian Journal of Mathematical Sciences and Informatics.Search in Google Scholar

[23] Rossafi, M. and Kabbaj, S., *-K-Operator frame for End*_𝒜(𝒣), Asian-European Journal of Mathematics, Vol.13, No. 03, 2050060 (2020).10.1142/S1793557120500606Search in Google Scholar

[24] Yosida, K., Functional Analysis, vol. 123, Springer-Verlag Berlin Heidelberg, Springer, Berlin, Germany, 6th edition, (1980).Search in Google Scholar