Nathan S. Feldman's Research

RESEARCH INTERESTS:

My research area is in operator theory and complex analysis. More precisely, I study linear operators on Hilbert space that are "close to normal operators", such as subnormal and hyponormal operators. Recent work involves the study of the cyclic behavior of adjoints of subnormal and hyponormal operators, the dynamics of linear operators and tuples of operators, finding subnormal generators of C*-algebras, and invariant subspaces for multiplication by z on the Hardy space of the slit disk.

**PUBLICATIONS**
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Please contact Nathan Feldman at "feldmanN at wlu dot edu" if a link is not working.
The Hardy Space of a Slit Domain with Alexandru Aleman and Bill Ross Submitted for Publication pdf file
Hypercyclic Tuples of Operators and Somewhere Dense Orbits To appear in J. Mathematical Analysis & Application pdf file
C*-algebras with Multiple Subnormal Generators To appear in Journal of Operator Theory pdff file
Hypercyclic Pairs of Coanalytic Toeplitz Operators Integral Eqns & Operator Theory J. 58 (2007), 153-173. pdf file
Subnormal and Hyponormal Generators of C-algebras with Paul McGuire J. Functional Analysis 231* (2006), 458-499. pdf file
Interpolating Measures for Subnormal Operators Oberwolfach Reports 2005 1 page summary/abstract of talk given at Oberwolfach, Germany pdf file
Some Properties of n-Supercyclic Operators with Paul Bourdon & Joel H. Shapiro Studia Mathematica 165 (2004), No. 2, 135-157. dvi file pdf file
Computing the Fredholm Index of Toeplitz Operators with Continuous Symbols with Paul McGuire Proc. Amer. Math. Soc. 133 (2005) 1357-1364. dvi file pdf file
Linear Chaos? An elementary introduction to chaos for linear operators dvi file pdf file
Somewhere Dense Orbits are Everywhere Dense with Paul Bourdon Indiana Univ. Math. J. 52 (2003), No. 3, 811-819. dvi file pdf file
(A Survey of) The Dynamics of Cohyponormal Operators Contemp. Math. 321 Amer. Math. Soc. (2003), 71-85. dvi file pdf file
Perturbations of Hypercyclic Vectors J. Math Analysis & Appl. 273 (2002), No. 1, 67-74 dvi file pdf file
On the Spectral Picture of an Irreducible Subnormal Operator II with Paul McGuire Proc. Amer. Math. Soc. 131 (2003), no. 6, 1793--1801. dvi file pdf file
n-Supercyclic Operators Studia Mathematica 151 (2002), 141-159. dvi file pdf file
Hypercyclicity and Supercyclicity for Invertible Bilateral Weighted Shifts Proc. Amer. Math. Soc. 131 (2003), 479-485. dvi file pdf file
Countably Hypercyclic Operators J. Operator Theory 50 (2003), 107-117. dvi file pdf file
Hypercyclic and Supercyclic Cohyponormal Operators with Vivien Miller & Len Miller Acta Sci. Math. (Szeged) 68 (2002), no. 1-2, 303--328. dvi file pdf file
Pure Subnormal Operators have Cyclic Adjoints J. Functional Analysis 162 (1999), no. 2, 379 - 399. dvi file pdf file
Subnormal Operators, Self-Commutators and Pseudocontinuations Integral Eqns & Operator Theory J. 37 (2000), no. 4, p. 402-422. dvi file pdf file
Tensor Products of Subnormal Operators Proc. Amer. Math. Soc. 127 (1999), no. 9, pp. 2685-2695. dvi file pdf file
Essentially Subnormal Operators Proc. Amer. Math. Soc. 127 (1999), no. 4, pp. 1171-1181. dvi file pdf file
Pointwise Multipliers of the Hardy space into the Bergman space Illinois J. Math. 43 (1999) no. 2, 211-221. dvi file pdf file
The Berger-Shaw Theorem for Cyclic Subnormal Operators Indiana Univ. Math. J., 46, No. 3, (1997), p. 741-751. dvi file pdf file
The Essential Self-Commutator of a Subnormal Operator with John B. Conway, Proc. Amer. Math. Soc. 125 (1997), p. 243-244. dvi file pdf file
Major Theorems in Compactness: A Unified approach with Jerzy Dydak, Amer. Math. Monthly 99 (1992) No. 3, p. 220 - 227. Original Article