Geodesic
Projection description of bessel sequences
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 9 (2009) no. 1, pp. 44-51.

Voir la notice de l'article provenant de la source Math-Net.Ru

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},
     publisher = {mathdoc},
     volume = {9},
     number = {1},
     year = {2009},
     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
PB  - mathdoc
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
%I mathdoc
%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