Petrovic Research

THE LIST OF RESEARCH ARTICLES

M. Lacruz, F. León-Saavedra, S. Petrovic, L. Rodriguez-Piazza, Extended eigenvalues of composition operators, J. Math. Anal. Appl. 504 (2021), no. 2, Paper No. 125427, 13 pp.

S. Patnaik, S. Petrovic, G. Weiss, Universal block tridiagonalization in B(H) and beyond, The mathematical legacy of Victor Lomonosov—operator theory, 317–326. Adv. Anal. Geom., 2. De Gruyter, Berlin, 2020

M. Lacruz, F. León-Saavedra, S. Petrovic, L. Rodriguez-Piazza, The double commutant property for composition operators, Collect. Math., 70 (2019), no. 3, 501–532.

M. Lacruz, F. León-Saavedra, S. Petrovic, L. Rodriguez-Piazza, Composition operators with a minimal commutant, Advances in Mathematics, 328 (2018), 890–927.

S. Petrovic, D. Sievewright, Compact composition operators and Deddens algebras, Complex Analysis and Operator Theory, 12 (2018), no. 8, 1889–1901.

S. Petrovic, D. Sievewright, Deddens algebras and weighted shifts of infinite multiplicity, Acta Sci Math (Szeged) 82 (2016), 577-595.

M. Lacruz, F. León-Saavedra, S. Petrovic, O. Zabeti, Extended eigenvalues for Cesàro operators. J. Math. Anal. Appl. 429 (2015), no. 2, 623–657.

S. Petrovic, Spectral radius algebras, Deddens algebras, and weighted shifts. Bull. Lond. Math. Soc. 43 (2011), no. 3, 513–522.

S. Petrovic, Deddens algebras and shift, Complex Analysis and Operator Theory 5 (2011), no. 1, 253–259.

S. Petrovic, Spectral radius algebras and C_0 contractions, II, J. Aust. Math. Soc. 89 (2010), no. 1, 91–104.

S. Petrovic, Spectral radius algebras and shift, Proceedings of the American Mathematical Society, 138 (2010), no. 5, 1639-1644.

S. Petrovic, Spectral radius algebras and C_0 contractions, Proceedings of the American Mathematical Society, 136 (2008), no. 12, 4283-4288.

A. Biswas, A. Lambert, S. Petrovic, and B. Weinstock, On Spectral Radius Algebras, Operators and Matrices 2 (2008), no. 2, 167-176

S. Petrovic, On The Structure of The Spectral Radius Algebras, Journal of Operator Theory 60 (2008), no. 1, 137-148.

A. Biswas, A. Lambert, and S. Petrovic, On spectral radius algebras and normal operators, Indiana University Mathematics Journal 56 (2007), no. 4, 1661—1674.

S. Petrovic, On The Extended Eigenvalues of Some Volterra Operators, Integral Equations and Operator Theory 57 (2007), no. 4, 593—598.

A. Biswas and S. Petrovic, On Extended Eigenvalues of Operators, Integral Equations and Operator Theory 55 (2006), no. 2, 233-248.

C. Easwaran, L. Fialkow, and S. Petrovic, Can a minimal degree 6 cubature rule for the disk have all points inside? Journal of Computational and Applied Mathematics 185, (2005), no. 1, 144-165.

L. Fialkow and S. Petrovic, A moment matrix approach to multivariable cubature. Integral Equations and Operator Theory 52 (2005), no. 1, 85-124.

A. Lambert and S. Petrovic, Beyond hyperInvariance for compact operators, Journal of Functional Analysis 219 (2005), no. 1, 93-108.   

S. Petrovic, Dynamic equations on the Cantor set, Panamer. Math. J. 13 (2003), no. 4, 1-18.

A. Biswas, A. Lambert, and S. Petrovic, Extended Eigenvalues and the Volterra Operator, Glasg. Math. J., 44, (2002), no. 3, 521-534.

S. Ferguson and S. Petrovic, The joint similarity problem for weighted Bergman shifts, Proc. Edin. Math. Soc. 44 (2001) 1-23.

A. Lambert and S. Petrovic, Invariant subspaces and limits of similarities. Acta Sci. Math. (Szeged), 66, no. 1-2, 2000. pp. 295-304.

S. Petrovic, An extremal problem in interpolation theory. Houston J. Math., 26, no. 1, 2000. pp. 165—181.

D. S. Mackey, N. Mackey, and S. Petrovic, Is every matrix similar to a Toeplitz matrix? Line87-105bra and its Applications, 297, no. 1-3, (1999), pp. 87-105.

A. Octavio and S. Petrovic, Joint spectrum and nonisometric functional calculus. Operator Theory: Advances and Applications. Nonselfadjoint operator algebras, operator theory, and related topics, 197-201, Oper. Theory Adv. Appl., 104, Birkhäuser, Basel, 1998

S. Petrovic, Polynomially unbounded product of two polynomially bounded operators. Integral Equations and Operator Theory, 27, 1997. pp. 473-477.

S. Petrovic, Some remarks on the operator of Foias and Williams. Proceedings of the American Mathematical Society, 124, 1996. pp. 2807-2811.

H. Bercovici and S. Petrovic, Generalized scalar operators as dilations. Proceedings of the American Mathematical Society, 123, 1995. pp. 2173-2180.

V. Paulsen, C. Pearcy, and S. Petrovic, On centered and weakly centered operators. Journal of Functional Analysis, 128, 1995. pp. 87-101.

S. Petrovic, On polynomial bounded weights shifts, II. Journal of Operator Theory, 34, 1995. pp. 217-238.

S. Petrovic, On the resolvent of a dilation for polynomially bounded operators. Integral Equations and Operator Theory, 20, 1994. pp. 364-376.

C. Pearcy and S. Petrovic, On polynomially bounded weighted shifts. Houston Journal of Mathematics, 20, 1994. pp. 27-45.

S. Petrovic, On the similarity of centered operators to contractions. Proceedings of the American Mathematical Society, 121, 1994. pp. 533-541.

S. Petrovic, A dilation theory for polynomially bounded operators. Journal of Functional Analysis, 108, 1992. pp. 458-469

S. Petrovic, A note on composition operators. Matematicki Vesnik, 40, no. 2, 1988. pp. 147-151.