List of Publications
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A. Gheondea: On meromorphic functional calculus [Romanian],
Studii
si Cercetari Matematice, 33(1981), 171-191.
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T. Constantinescu and A. Gheondea: Algebraic aspects of the
functional calculus for meromorphic functions, Revue Roumaine de Mathematiques
Pures et Appliquees, 27(1982), 949-956.
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Gr. Arsene and A. Gheondea: Completing matrix contractions,
Journal
of Operator Theory, 7(1982), 179-189.
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A. Gheondea: Pseudo-regular spectral functions, Journal
of Operator Theory, 12(1984), 349-358.
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A. Gheondea: On the geometry of pseudo-regular subspaces
of a Krein space, in Operator Theory: Advances and Applications,
Vol. 14, Birkhauser Verlag, Basel 1984, pp. 141-156.
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A. Gheondea and P. Jonas: A characterization of spectral
functions of definitizable operators, Journal of Operator Theory,
17(1987),
99-110.
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T. Constantinescu and A. Gheondea: On unitary dilation and
characteristic functions in indefinite inner product spaces, in Operator
Theory: Advances and Applications, Vol. 24, Birkhauser Verlag, Basel
1987, pp. 87-102.
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Gr. Arsene, T. Constantinescu and A. Gheondea: Lifting of
operators and prescribed negative squares, Michigan Mathematical Journal,
34(1987), 201-216.
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A. Gheondea: Canonical forms of unbounded unitary operators
in Krein spaces, Publications of the Research Institute of Mathematical
Sciences, Kyoto University, 24(1988), 205-224.
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A. Gheondea: On invariant maximal non-negative subspaces
of certain operators acting in Krein space, Integral Equations and Operator
Theory, 12(1989), 129-195.
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A. Gheondea: A geometric question concerning strong duality
of neutral subspaces, Mathematica Balkanica, 3(1989), 183-195.
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T. Constantinescu and A. Gheondea: Minimal signature in lifting
of operators. I, Journal of Operator Theory, 22(1989), 345-367.
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A. Gheondea: On the structure of linear contractions with
respect to fundamental decompositions, in Operator Theory: Advances
and Applications Vol. 48, Birkhauser Verlag, Basel 1990, pp. 275-295.
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T. Constantinescu and A. Gheondea: Minimal signature in lifting
of operators. II, Journal of Functional Analysis, 103(1992),
317-351.
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A. Gheondea: One-step completions of Hermitian partial matrices
with minimal negative signature, Linear Algebra and its Applications,
173(1992),
99-114.
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T. Constantinescu and A. Gheondea: Extending factorizations
and minimal negative signatures, Journal of Operator Theory, 28(1992),
371-402.
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T. Constantinescu and A. Gheondea: The negative signature
of some Hermitian matrices, Linera Algebra and its Applications,
178(1993),
178-42.
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A. Gheondea: Quasi-contractions in Krein spaces, in
Operator
Theory: Advances and Applications, Vol. 61, Birkhauser Verlag, Basel
1993, pp. 123-148.
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A. Gheondea: The spectral theory of selfadjoint operators
in Krein spaces [Romanian], Studii si Cercetari Matematice, 45(1993),
177-265.
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A. Gheondea: Techniques of geometry of Krein spaces in generalized
interpolation theory, in Challanges of a Generalized System Theory,
North-Holland, Amsterdam 1993, pp.195-208.
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T. Constantinescu and A. Gheondea: Elementary rotations of
linear operators in Krein spaces, Journal of Operator Theory,
29(1993),
167-203.
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T. Constantinescu and A. Gheondea: Extending chains of factorizations
and minimal negative signatures, Zeitschrift fur Analysis und ihre Anwendungen,
13(1994), 137-153.
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T. Constantinescu and A. Gheondea: On the indefinite trigonometric
problem of I. S. Iokhvidov and M. G. Krein, Mathematische Nachrichten,
171(1995), 79-94.
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A. Dijksma and A. Gheondea: On the signatures of selfadjoint
pencils, in Operator Theory: Advances and Applications, Vol. 80,
Birkhauser Verlag, Basel 1995.
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A. Dijksma and A. Gheondea: Index formula for subspaces of
Krein spaces, Integral Equations and Operator Theory, 25(1996),
58-72.
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A. Gheondea: Contractive intertwining dilations of quasi-contractions,
Zeitschrift
fur Analysis und ihre Anwendungen, 15(1996), 31-44.
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T. Constantinescu, A. Gheondea: Hermitian kernels with bounded
structure, Integral Equations and Operator Theory, 27(1997),
141-164.
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A. Gheondea, R.J. Ober: Spectral Minimality of J-Positive
Linear Systems of Finite Order, in Operators, Linear Systems, and Linear
Algebra, B.G. Teubner Stuttgart 1997, pp. 70--80.
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T. Constantinescu, A. Gheondea: Representation of Hermitian
kernels by means of Krein spaces, Publ. RIMS Kyoto University,
33(1997),
917--951.
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A. Gheondea: On Generalized Interpolation and Shift Invariant
Maximal Semidefinite Subspaces, in Operator Theory: Advances and Applications,
Vol. 103, Birkhauser Verlag, Basel-Boston-Berlin 1998.
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T. Constantinescu, A. Gheondea: On a Nehari type problem
on spaces with indefinite inner product, Revue Roumaine Math. Pures
Appl., 43(1998), 323--354..
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T. Constantinescu, A. Gheondea: On the Caratheodory type
problem of M.G. Krein and H. Langer, C. R. Acad. Sci. Paris I,
327(1998),
243--247.
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A. Gheondea, R.J. Ober: Completely J-positive linear systems
of finite order, Mathematische Nachrichten, 203(1999), 75-101.
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A. Gheondea, R.J. Ober: A trace formula for Hankel operators,
Proceedings
of the American Mathematical Society, 127(1999), 2007-2012.
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T. Constantinescu, A. Gheondea: Kolmogorov decompositions
and the realization of time dependent systems, in Operator
Theory: Advances
and Applications, Vol. 115, pp. 123-144; Birkhauser Verlag,
Basel-Boston, 2000.
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A. Gheondea, R.J. Ober: A note on the existence, uniqueness
and symmetry of parbalanced realizations,
Integral Equations and Operator Theory,
37(2000), 423-436.
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B. Curgus, A. Gheondea, H. Langer: On singular critical
points
of definitizable operators, Proceedings of the American Mathematical
Society , 128(2000), 2621-2626.
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T. Constantinescu, A. Gheondea: On the Schur algorithm and
coefficient characterizations for generalized Schur functions,
Proceedings of the American Mathematical Society ,
128(2000), 2705-2713.
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T. Constantinescu, A. Gheondea: Invariant Hermitian kernels
and their Kolmogorov decompositions, Comptes Rendus de l'Academie des
Sciences, serie I-Mathematiques, 331(2000), no. 10,
797--802.
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T. Constantinescu, A. Gheondea: Representations of Hermitian
kernels by means of Krein spaces II. Invariant kernels, Communications
in Mathematical Physics, 216(2001), no. 2, 409--430.
- A. Arias, A. Gheondea, and S. Gudder: Fixed points
of quantum operations, J. Mathematical Physics,
43(2002), no. 12, 5872--5881.
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A. Gheondea and G. Popescu: Bounded
characteristic functions and models for noncontractive sequences of
operators, Integral Equations and Operator Theory, 45(2003),
15--38.
Accepted papers
-
A. Gheondea and G. Popescu: Joint similarity
and dilations for noncontractive sequences of operators,
Journal of Functional Analysis,
PS file,
PDF file.
-
A. Gheondea and S. Gudder: Sequential product of quantum
effects, Proceedings of the American Mathematical
Society,PS file,
PDF file.
-
A. Gheondea and R.N. Gologan: On a class of piecewise
smooth functions Bulletin de Mathematique de la Societe des
Sciences Mathematiques de Roumanie,
PS file,
PDF file.
Preprints
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T. Constantinescu and A. Gheondea: L. Schwartz's
boundedness condition, invariant kernels, and dilation theory,
PS file,
PDF file,
(Posted also at
http://arxiv.org/abs/math.FA/0212218).