Gelfand numbers of diagonal matrices

ÇEVİK, E. Otkun; ISMAILOV, Z. I.; CONA, L.

Gelfand numbers of diagonal matrices

Z. I. ISMAILOV, (Karadeniz Teknik Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü, Trabzon, Türkiye)

L. CONA, (Gumushane University, Department of Mathematical Engineering, 29100 Gumushane, Turkey)

E. Otkun ÇEVİK (Karadeniz Teknik Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü, Trabzon, Türkiye)

Hacettepe Journal of Mathematics and Statistics

0 0

Yıl: 2015 Cilt: 44 Sayı: 1 Sayfa Aralığı: 75 - 81 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022

Gelfand numbers of diagonal matrices

Öz:

In this work , a connection between Gelfand numbers of inﬁnite diagonal matrix with linear bounded operator-elements in the direct sum of Banach spaces and its coordinate operators has been investigated. 2000 AMS Classiﬁcation: 47A05

Anahtar Kelime:

Konular: Matematik İstatistik ve Olasılık

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

[1] Gohberg, I.Z. and Krein, M.G. Introduction to the theory of linear non-selfadjoint operators in Hilbert space (Moskow, 1965; Providence, 1969; Paris, 1971).
[2] Schmidt, E. Zur Theorie der linearen und nichtlinearen integralgleichungen, Math. Ann. 63, 433-476,1907; 64, 161-174(1907).
[3] von Neumann, J. and Schatten,R. The cross-space of linear transformations, Ann. Math. 47, 608-630,1946; 49, 557-582,1948.
[4] Pietsch, A. Operators ideals (North-Holland Publishing Company, 1980).
[5] Pietsch,A. Eigenvalues and s-numbers (Cambridge Universty Press, 1987).
[6] Kashin, B.S. Diameter of some ﬁnite dimensional sets and of same classes of smooth functions , Izv. Akad. Nauk SSSR, Ser. Mat., 41, 334-351,1977(in Russian).
[7] Mitjagin, B.S. Random matrices and supspaces , Collection of papers on "Geometry of linear spaces and operator theory", 175-202 (Jaroslavl, 1977,in Russian).
[8] Lindenstrauss, J. and Tzafriri, L. Classical Banach spaces, I( Springer-Verlag, Berlin 1977).
[9] Zettl, A. Sturm-Liouville Theory, V.121,Amer. Math. Soc.(Math. Survey and Monographs USA, 2005).
[10] Dunford, N. and Schwartz, J.T. Linear operators, I (Interscience, New-York,1958).
[11] Pietsch, A. s-numbers of operators in Banach spaces, Studia Math. 51, 201-223,1974.
[12] König, H. Eigenvalues of operators and applications, Mathematisches Seminar, 18 March 2008, Elsevier Preprint, p. 1-40.
[13] Allakhverdiev, Dzh. E. On the rate of appoximation to completely continuous operator with ﬁnitely dimension operators, Sci. notes of Azerbaijan State University, 2,27-35 ,1957(in Russian).
[14] Ismailov,Z.I., Otkun Çevik, E. and Unluyol, E. Compact inverses of multipoint normal diﬀerential operators for ﬁrst order, Electronic J. Diﬀerential Equations, 89, 1-11, 2011.

APA	ISMAILOV Z, CONA L, ÇEVİK E (2015). Gelfand numbers of diagonal matrices. , 75 - 81.
Chicago	ISMAILOV Z. I.,CONA L.,ÇEVİK E. Otkun Gelfand numbers of diagonal matrices. (2015): 75 - 81.
MLA	ISMAILOV Z. I.,CONA L.,ÇEVİK E. Otkun Gelfand numbers of diagonal matrices. , 2015, ss.75 - 81.
AMA	ISMAILOV Z,CONA L,ÇEVİK E Gelfand numbers of diagonal matrices. . 2015; 75 - 81.
Vancouver	ISMAILOV Z,CONA L,ÇEVİK E Gelfand numbers of diagonal matrices. . 2015; 75 - 81.
IEEE	ISMAILOV Z,CONA L,ÇEVİK E "Gelfand numbers of diagonal matrices." , ss.75 - 81, 2015.
ISNAD	ISMAILOV, Z. I. vd. "Gelfand numbers of diagonal matrices". (2015), 75-81.

APA	ISMAILOV Z, CONA L, ÇEVİK E (2015). Gelfand numbers of diagonal matrices. Hacettepe Journal of Mathematics and Statistics, 44(1), 75 - 81.
Chicago	ISMAILOV Z. I.,CONA L.,ÇEVİK E. Otkun Gelfand numbers of diagonal matrices. Hacettepe Journal of Mathematics and Statistics 44, no.1 (2015): 75 - 81.
MLA	ISMAILOV Z. I.,CONA L.,ÇEVİK E. Otkun Gelfand numbers of diagonal matrices. Hacettepe Journal of Mathematics and Statistics, vol.44, no.1, 2015, ss.75 - 81.
AMA	ISMAILOV Z,CONA L,ÇEVİK E Gelfand numbers of diagonal matrices. Hacettepe Journal of Mathematics and Statistics. 2015; 44(1): 75 - 81.
Vancouver	ISMAILOV Z,CONA L,ÇEVİK E Gelfand numbers of diagonal matrices. Hacettepe Journal of Mathematics and Statistics. 2015; 44(1): 75 - 81.
IEEE	ISMAILOV Z,CONA L,ÇEVİK E "Gelfand numbers of diagonal matrices." Hacettepe Journal of Mathematics and Statistics, 44, ss.75 - 81, 2015.
ISNAD	ISMAILOV, Z. I. vd. "Gelfand numbers of diagonal matrices". Hacettepe Journal of Mathematics and Statistics 44/1 (2015), 75-81.