Geodesic
Projection description of bessel sequences
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 9 (2009) no. 1, pp. 44-51 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We consider Bessel sequences in Banach space with respect to modeling sequences space. The generalized analogues of theorems of Bari, Schur, Novikov and Czaja are established. 
@article{ISU_2009_9_1_a5,
     author = {P. A. Terekhin},
     title = {Projection description of bessel sequences},
     journal = {Izvestiya of Saratov University. Mathematics. Mechanics. Informatics},
     pages = {44--51},
     year = {2009},
     volume = {9},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ISU_2009_9_1_a5/}
}
TY  - JOUR
AU  - P. A. Terekhin
TI  - Projection description of bessel sequences
JO  - Izvestiya of Saratov University. Mathematics. Mechanics. Informatics
PY  - 2009
SP  - 44
EP  - 51
VL  - 9
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/ISU_2009_9_1_a5/
LA  - ru
ID  - ISU_2009_9_1_a5
ER  - 
%0 Journal Article
%A P. A. Terekhin
%T Projection description of bessel sequences
%J Izvestiya of Saratov University. Mathematics. Mechanics. Informatics
%D 2009
%P 44-51
%V 9
%N 1
%U http://geodesic.mathdoc.fr/item/ISU_2009_9_1_a5/
%G ru
%F ISU_2009_9_1_a5
P. A. Terekhin. Projection description of bessel sequences. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 9 (2009) no. 1, pp. 44-51. http://geodesic.mathdoc.fr/item/ISU_2009_9_1_a5/

[1] Bari N. K., “Biortogonalnye sistemy i bazisy v gilbertovom prostranstve”, Matematika, v. 4, Uchen. zapiski MGU, 148, 1951, 69–107 | MR

[2] Schur I., “Uber endliche Gruppen und Hermitische Formen”, Math. Zeit., 1 (1918), 183–207

[3] Rademacher H., “Einige Satze uber Reihen von allgemeinen Orthogonalfunktionen”, Math. Ann., 87:1–2 (1922), 112–138 | DOI | MR | Zbl

[4] Nikishin E. M., “O skhodimosti nekotorykh funktsionalnykh ryadov”, Izv. AN SSSR. Ser. matem., 31:1 (1967), 15–26 | Zbl

[5] Kozlov V. Ya., “O lokalnoi kharakteristike polnoi ortogonalnoi normirovannoi sistemy funktsii”, Mat. sbornik, 23:3 (1948), 441–474 | MR

[6] Olevskii A. M., “O prodolzhenii posledovatelnosti funktsii do polnoi ortonormirovannoi sistemy”, Mat. zametki, 6:6 (1969), 737–747 | MR

[7] Kashin B. S., Saakyan A. A., Ortogonalnye ryady, Nauka, M., 1984 | MR | Zbl

[8] Novikov S. Ya., “Besselevy posledovatelnosti kak proektsii ortogonalnykh sistem”, Mat. zametki, 81:6 (2007), 893–903 | DOI | MR | Zbl

[9] Czaja W., “Remark on Naimark's duality”, Proc. Amer. Math. Soc., 136:3 (2008), 867–871 | DOI | MR | Zbl

[10] Naimark M. A., “Spekralnye funktsii simmetricheskogo operatora”, Izv. AN SSSR. Ser. matem., 4:3 (1940), 277–318 | Zbl

[11] Kashin B. S., Kulikova T. Yu., “Zamechanie ob opisanii freimov obschego vida”, Mat. zametki, 72:6 (2002), 941–945 | DOI | MR | Zbl

[12] Casazza P. G., Han D., Larson D. R., “Frames for Banach spaces”, Contemp. Math., 247, 1999, 149–182 | DOI | MR | Zbl

[13] Terekhin P. A., “Sistemy predstavleniya i proektsii bazisov”, Mat. zametki, 75:6 (2004), 944–947 | DOI | MR | Zbl

[14] Christensen O., Heil C., “Perturbations of Banach frames and atomic decompositions”, Math. Nachr., 185 (1997), 33–47 | DOI | MR | Zbl