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EIGENVALUES OF STURM-LIOUVILLE OPERATORS AND PRIME NUMBERS
(TEXAS STATE UNIV, 2017)
We show that there is no function q(x) is an element of L-2(0, 1) which is the potential of a Sturm-Liouville problem with Dirichlet boundary condition whose spectrum is a set depending nonlinearly on the set of prime ...
The spectrum and some subdivisions of the spectrum of discrete generalized Cesaro operators on l(p) (1 < p < infinity)
(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 ...
On the spectrum of the quadratic pencil of differential operators with periodic coefficients on the semi-axis
(SPRINGER INTERNATIONAL PUBLISHING AG, 2015)
In this paper, the spectrum and resolvent of the operator L-lambda generated by the differential expression L-lambda(y) = y '' + q(1)(x)y' + [lambda(2) + lambda q(2)(x) + q(3)(x)] y and the boundary condition y'(0) - hy(0) ...
Subdivision of the spectra for factorable matrices on c and l(p)
(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. ...
The spectra and fine spectra of factorable matrices on c(0)
(UNIV OSIJEK, DEPT MATHEMATICS, 2011)
In a series of papers we have previously investigated the spectra and fine spectra for factorable matrices, considered as bounded operators over various sequence spaces. In this paper we examine the spectra and fine spectra ...
ON THE SPECTRUM AND HILBERT SCHIMIDT PROPERTIES OF GENERALIZED RHALY MATRICES
(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 ...
On the spectrum of the pencil of high order differential operators with almost periodic coefficients
(SPRINGEROPEN, 2015)
In this paper, the spectrum and the resolvent of the operator L-lambda which is generated by the differential expression l(lambda)(y) = y((m)) + Sigma([I])(gamma=1) (Sigma(gamma)(k=0) lambda(k)p(gamma)(X))y((m-gamma)) has ...