SelectedWorks - Joanne Dombrowski

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Selected Works of Joanne Dombrowski

Professor Emerita, Mathematics and Statistics

Dr. Dombrowski came to Wright State in 1973 after completing her Ph.D. in mathematics at Purdue University, specializing in operator theory. Her research interests are in the area of analysis, and focus on spectral properties of unbounded operators. She enjoys teaching a variety of courses, and currently serves as the graduate advisor for the Master of Science Program in Mathematics.

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About Joanne Dombrowski

Dr. Dombrowski came to Wright State in 1973 after completing her Ph.D. in mathematics at Purdue University, specializing in operator theory. Her research interests are in the area of analysis, and focus on spectral properties of unbounded operators. She enjoys teaching a variety of courses, and currently serves as the graduate advisor for the Master of Science Program in Mathematics.

Present	Professor Emeritus, Wright State University ‐ Mathematics and Statistics
Institution Organization Position Type Position Title Time Period to Options Current Position Affiliate my profile with this Institution

Physical Sciences and Mathematics, Mathematics, and Analysis

Spectral Properties of Unbounded Operators

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Articles (6)

Spectral Measures, Orthogonal Polynomials, and Absolute Continuity

SIAM Journal on Mathematical Analysis (1988)

Joanne Dombrowski

This paper studies the spectral measure of an unbounded tridiagonal matrix operator for which the matrix entries satisfy a certain ...

Cyclic Operators, Commutators, and Absolutely Continuous Measures

Proceedings of the American Mathematical Society (1987)

Joanne Dombrowski

Commutator equations are used to study the relationship between the tridiagonal matrix structure of an unbounded cyclic selfadjoint operator and ...

Orthogonal Polynomials, Measures and Recurrence Relations

SIAM Journal on Mathematical Analysis (1986)

Joanne Dombrowski and Paul Nevai

Properties of measures associated with orthogonal polynomials are investigated in terms of the coefficients of the three term recurrence formula ...

Quasi-Triangular Matrices

Proceedings of the American Mathematical Society (1978)

Joanne Dombrowski

It is shown that there exist quasitriangular operators which cannot be represented as quasitriangular matrices.

Positive Perturbations of Unbounded Operators

Proceedings of the American Mathematical Society (1977)

Joanne Dombrowski

This work studies the spectral properties of certain unbounded selfadjoint operators by considering positive perturbations of such operators and the ...

The Absolute Continuity of Phase Operators

Transactions of the American Mathematical Society (1975)

Joanne Dombrowski and G. H Fricke

This paper studies the spectral properties of a class of operators known as phase operators which originated in the study ...

The Absolute Continuity of Phase Operators

Joanne Dombrowski and Gerd H. Fricke

Let H be a separable Hilbert space with orthonormal basis {φn}, V the unilateral shift operator on H so that ...