Browsing by Author "Durna, Nuh"
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GENERALIZED TERRACED MATRICES
Durna, Nuh; Yildirim, Mustafa (UNIV MISKOLC INST MATH, 2016)We know that every terraced matrix has the factorization R-b = DbC, where C is the Cesaro matrix and D-b = diag {(n + 1)b(n)}. In the present paper, we define the generalized terraced matrix by using the generalized Cesaro ... -
ON THE SPECTRUM AND HILBERT SCHIMIDT PROPERTIES OF GENERALIZED RHALY MATRICES
Mursaleen, Mohammad; Yildirim, Mustafa; Durna, Nuh (ANKARA UNIV, FAC SCI, 2019)In this paper, we show that the multiplications of some generalized Rhaly operators are Hilbert Schimidt operators. We also calculate the spectrum and essential spectrum of a special generalized Rhaly matrices on the Hardy ... -
SPECTRA AND FINE SPECTRA OF THE UPPER TRIANGULAR BAND MATRIX U(a; 0; b) OVER THE SEQUENCE SPACE C-0
Durna, Nuh (UNIV MISKOLC INST MATH, 2019)The aim of this paper is to obtain the spectrum, fine spectrum, approximate point spectrum, defect spectrum and compression spectrum of the operator U(a;0;b) = [GRAPHICS] (b(0) , b(1) , b(2) not equal 0) on the sequence ... -
The spectrum and some subdivisions of the spectrum of discrete generalized Cesaro operators on l(p) (1 < p < infinity)
Yildirim, Mustafa; Durna, Nuh (SPRINGEROPEN, 2017)The discrete generalized Cesaro matrix A(t) = (a(nk)) is the triangular matrix with nonzero entries a(nk) = t(n-k)/(n + 1), where t is an element of [0, 1]. In this paper, boundedness, compactness, spectra, the fine spectra ... -
Subdivision of the spectra for factorable matrices on c and l(p)
Durna, Nuh; Yildirim, Mustafa (UNIV OSIJEK, DEPT MATHEMATICS, 2011)There are many different ways to subdivide the spectrum of a bounded linear operator; some of them are motivated by applications to physics (in particular, quantum mechanics). In a series of papers, B.E. Rhoades and M. ... -
SUBDIVISIONS OF THE SPECTRA FOR GENERALIZED DIFFERENCE OPERATOR C-nu ON THE SEQUENCE SPACE l(1)
Basar, Feyzi; Durna, Nuh; Yildirim, Mustafa (AMER INST PHYSICS, 2010)The fine spectrum of the generalized difference operator C-nu defined by a strictly decreasing sequence nu of positive reels on the space l(1) has been studied by Srivastava and Kumar [Thai J. Math. 8(2)(2010), 7-19]. ...