Geodesic
On two classes of Köthe-Fréchet spaces in which every complemented subspace has a basis
Vladikavkazskij matematičeskij žurnal, Tome 5 (2003) no. 4, pp. 50-62 Cet article a éte moissonné depuis la source Math-Net.Ru

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V. P. Kondakov; A. I. Efimov. On two classes of Köthe-Fréchet spaces in which every complemented subspace has a basis. Vladikavkazskij matematičeskij žurnal, Tome 5 (2003) no. 4, pp. 50-62. http://geodesic.mathdoc.fr/item/VMJ_2003_5_4_a5/

[1] Mityagin B. S., “Kvaziekvivalentnost bazisov v gilbertovykh shkalakh”, Studia Math., 37 (1971), 111–137 | MR | Zbl

[2] Pich A., Yadernye lokalno vypuklye prostranstva, Mir, M., 1967, 266 pp. | MR

[3] Ahonen H., On nuclear Köthe spaces defined by Dragilev functions, Series A. Mathematics Dissertationes, 38, Ann. Acad. Sc. Fennicae, Helsinki, 1981 | MR | Zbl

[4] Kondakov V. P., “O bazisakh v nekotorykh funktsionalnykh prostranstvakh i ikh dopolnyaemykh podprostranstvakh”, Mat. vestnik. Belgrad, 1988, 267–270 | MR

[5] Dragilev M. M., “O pravilnykh bazisakh v yadernykh prostranstvakh”, Mat. sb., 68:2 (1965), 153–173 | MR | Zbl

[6] Kocatepe M., Nurlu Z., “Some special Köthe spaces”, Advances in the Theory of Frechet Spaces, ed. T. Terzioglu, Kluwer Acad. Publ., Dordrecht–Boston–London, 1989, 269–296 | MR

[7] Krone J., “On Pelczynski$'$s problem”, Advances in the Theory of Frechet Spaces, ed. T. Terzioglu, Kluwer Acad. Publ., Dordrecht–Boston–London, 1989, 297–304 | MR

[8] Dubinsky E. D., Vogt D., “Complemented subspaces in tame power series spaces”, Studia Math., 93:4 (1989), 71–85 | MR | Zbl

[9] Kondakov V. P., “Ob operatorakh i dopolnyaemykh podprostranstvakh v prostranstvakh Këte, opredelyaemykh razrezhennymi matritsami”, Sib. mat. zhurn., 35:5 (1995), 1096–1112 | MR

[10] Dragilev M. M., Kondakov V. P., “Ob odnom klasse yadernykh prostranstv”, Mat. zametki, 8:2 (1970), 169–179 | MR | Zbl

[11] Kondakov V. P., “Geometric conditions and the existence of bases in Frechet spaces”, Mezhdunarodnaya shkola-seminar po geometrii i analizu pamyati N. V. Efimova, Tezisy dokladov (Abrau-Dyurso), Rostov-na-Donu, 1998, 145–147

[12] Kondakov V. P., O suschestvovanii bazisov v dopolnyaemykh yadernykh podprostranstvakh prostranstv stepennykh ryadov beskonechnogo tipa, Dep. v VINITI 11.12.98, No 3653-B98, M., 1998

[13] Kondakov V. P., “Suschestvovanie bazisov v yadernykh dopolnyaemykh podprostranstvakh prostranstv stepennykh ryadov beskonechnogo tipa”, Funkts. analiz i ego pril., 34:2 (2000), 81–83 | MR | Zbl

[14] Kondakov V. P., “O dopolnyaemykh podprostranstvakh nekotorykh prostranstv Këte beskonechnogo tipa”, Sib. mat. zhurn., 44:1 (2003), 112–119 | MR | Zbl

[15] Baran V. I., Kondakov V. P., “Kvaziekvivalentnost absolyutnykh bazisov v prostranstvakh klassov $(d_1)$ i $(d_2)$”, Dokl. AN SSSR, 235:4 (1977), 729–732 | MR | Zbl

[16] Dragilev M. M., Bazisy v prostranstve Këte, Izd-vo RGU, Rostov-na-Donu, 1983, 144 pp. | Zbl

[17] Kondakov V. P., “Zamechaniya o suschestvovanii bezuslovnykh bazisov v vesovykh schetno-gilbertovykh prostranstvakh i ikh dopolnyaemykh podprostranstvakh”, Sib. mat. zhurn., 42:6 (2001), 1300–1313 | MR | Zbl

[18] Peetre J., “On interpolation functions, 3”, Acta Sci. Math., 30:3 (1969), 235–239 | MR | Zbl

[19] Kondakov V. P., Voprosy geometrii nenormiruemykh prostranstv, Izd-vo RGU, Rostov-na-Donu, 1983, 72 pp. | MR | Zbl

[20] Kondakov V. P., “O stroenii bezuslovnykh bazisov nekotorykh prostranstv Këte”, Studia Math., 76:2 (1983), 137–151 | MR | Zbl