Publications of B. Nagy
1.
On an extension of the
notions of conditional expectation and martingales.
2.
On a generalization of the Cauchy equation,
Aequationes Math., 10 (1974), 165-171. MR 50 # 5912.
3.
On cosine operator functions in Banach spaces, Acta
Sci. Math., 36 (1974), 281-289. MR 51 # 11191.
4.
On the generators of cosine operator functions,
Publicationes Math., 21 (1974), 151-154. MR 50 # 14368.
5. Trigonometric operator functions.
6.
Spectral mapping theorems for semigroups of operators,
Acta Sci. Math., 38 (1976), 343-351. MR 56 # 9320.
7.
Cosine operator functions and the abstract Cauchy
problem, Periodica Math. Hungar., 7 (1976), 213-217.
MR 56 # 9023.
8.
Approximation theorems for cosine operator functions,
Acta Math. Acad. Sci. Hungar., 29 (1977), 69-76. MR 55 #
13294.
9. On some spectral
properties of operator functions, Annales Univ. Sci. Budapest. R. Eotvos Nom.
Sectio Math., 20 (1977), 87-93. MR 57 # 17337.
10.
A sine functional equation in Banach algebras, Publicationes Math., 24 (1977),
77-90. MR 57 # 943.
11.
On some functional equations in Banach algebras, Publicationes Math., 24
(1977), 257-261. MR 57 # 3682.
12.
S-spectral capacities and closed operators, Studia Sci. Math. Hungar., 12 (1977), 399-406. MR 82e:47045.
13.
Unbounded prespectral operators, Periodica Math. Hungar.,
9 (1978), 277-283. MR 80a:47052.
14.
Analytic functions of prespectral operators, Acta Math. Acad. Sci. Hungar., 31
(1978), 157-171. MR 58 # 23737.
15.
On the spectra of prespectral operators, Glasgow Math.
J., 19 (1978), 57-61. MR 80a:47051.
16.
Operators with the spectral decomposition property are decomposable, Studia
Sci. Math. Hungar., 13 (1978), 429-432. MR 82h:47032.
17.
On cosine operator functions, Publicationes Math., 26 (1979), 133-138. MR
81f:47042.
18.
On an operational calculus for meromorphic functions,
Acta Math. Acad. Sci. Hungar., 33 (1979), 379-390. MR 80h:47019.
19.
Characterizations of spectral operators, Archiv der Math., 32 (1979), 289-294.
MR 80m:47031.
20.
On S-decomposable operators, J. Operator Theory, 2 (1979), 277-286.MR
81c:47035.
21.
Essential spectra of spectral operators, Periodica Math. Hungar., 11 (1980), 1-6. MR
81e:47031.
22.
A strong spectral residuum for every closed operator, Illinois J. Math., 24
(1980), 173-179. MR 81f:47036.
23.
Closed S-decomposable operators, Annales Univ. Sci. Budapest. R. Eotvos Nom.
Sectio Math., 22-23 (1979-1980), 143-149. MR 82b:47038.
24.
Residually spectral operators, Acta Math. Acad. Sci. Hungar., 35 (1980), 37-48.
MR 81k:47045.
25.
Restrictions, quotients and S-decomposability of operators, Revue Roumaine
Math. Pures Appl., 25 (1980), 1085-1090. MR 81m:47049.
26. Semigroups of operators and decomposability, Studia Sci. Math. Hungar., 15 (1980), 345-352. MR 84c:47033.
27.
Local spectral theory, Acta Math. Acad. Sci. Hungar., 37 (1981), 433-443. MR
82h:47033.
28.
A spectral residuum for each closed operator, pp. 221-238 in: Topics in Modern
Operator Theory, Operator Theory: Advances and Applications, Vol. 2, Birkhauser
Verlag,
29.
On Boolean algebras of projections and prespectral operators, pp. 145-162 in:
Invariant Subspaces and Other Topics, Operator Theory: Advances and
Applications, Vol. 6, Birkhauser Verlag,
30.
Differential operators and spectral decomposition, pp. 891-917 in: Colloquia
Math. Soc. J. Bolyai, 35: Functions, Series, Operators (
31.
On Boolean algebras of projections and prespectral operators,
Trudy Inst. Steklova 163 (1984), 187-190. Also in: Proceedings of the Steklov Institute of Mathematics 1985, Issue 4, 219-222. MR
86b:47056.
32.
Spectral decompositions of closed linear operators in Banach spaces.
33.
A local spectral theorem for closed operators, Acta Sci. Math., 48 (1985),
339-350. MR 87d:47047.
34.
Finitely spectral operators, Glasgow Math. J., 28 (1986), 95-112.
MR 87k:47077.
35.
Operators with spectral singularities, J. Operator Theory, 15 (1986), 307-325. MR 87f:47047.
36.
(with K.-H. Förster) On the
local spectral theory of positive operators, pp. 71-81 in: Special Classes of
Linear Operators and Other Topics, Operator Theory: Advances and Applications,
Vol. 28, Birkhäuser Verlag,
37.
Spectral measures with singularities, Acta Math. Hungar.,
49 (1987), 51-64. MR 87k:47078.
38.
On the spectral singularities of the truncated shift,
Acta Math. Hungar., 51 (1988), 225-237. MR
89f:47042.
39.
(with K.-H. Förster) On the
Collatz-Wielandt numbers and the local spectral radius of a nonnegative
operator, Lin. Algebra Appl., 120 (1989), 193-205. MR 90j:47043.
40.
(with K.-H. Förster) On the
Collatz-Wielandt numbers and the local spectral radius of a nonnegative matrix,
Lin. Algebra Appl., 121 (1989), 593-597.
41.
(with K.-H. Förster) On the
local spectral radius of a nonnegative element with respect to an irreducible
operator, Acta Sci. Math., 55 (1991), 155-166. MR 92j:47016.
42.
(with K.-H. Förster) The spectral singularities of
injective weighted shifts, Acta Math. Hungar., 56
(1990), 121-124. MR 92b:47037.
43.
(with K.-H. Förster) On the
spectral theory of matrix polynomials with nonnegative coefficients, Lin.
Algebra Appl., 167 (1992), 225-231.
44.
(with K.-H. Förster) Some
properties of the spectral radius of a monic operator polynomial with
nonnegative compact coefficients, Integral Equ. and
Operator Theory, 14 (1991), 794-805. MR 92g:47015.
45.
(with K.-H. Förster) Decomposable matrix polynomials, Lin. Algebra Appl., 187 (1993), 41-58. MR 94e:15030.
46.
(with K.-H. Förster) The imaginary
part of the Cesaro operator in $l^p$ spaces, Archiv der Math., 59 (1992),
379-382. MR 93h:47034.
47.
(with K.-H. Förster) Lie and
48.
(with R. Lange) Semigroups and scalar-type operators
in Banach spaces, J. Functional Analysis, 119 (1994), 468-480. MR 95h:47054.
49.
On Stone's theorem in Banach space, Acta Sci. Math., 57 (1993), 207-213. MR
94j:47058.
50. On KLKH systems of scalar-type
spectral operators, in: Ferreyra, Goldstein, Neubrander (eds.), Evolution Equations,
Marcel Dekker,
51.
(with J. A. Goldstein) An extremal property of
contraction semigroups in Banach spaces, Illinois J. Math., 39 (1995),
441-449. MR 96c:47054.
52.
(with K.-H. Förster) Local spectra
and the Riemann localization principle, Acta Sci. Math., 60 (1995), 265-276.
MR 96g:47006.
53.
(with K.-H. Förster) Spektraleigenschaften von Matrix- und Operatorpolynomen.
Sitzungsberichte d. Berliner Math. Gesellschaft, Jg. 1988-1992, pp. 243-262.
Berlin, Vorstand der Gesellschaft, 1994. MR 96b:47009.
54.
(with K.-H. Förster) Local spectral
radii and Collatz-Wielandt numbers for operator polynomials, Lin. Algebra
Appl., 268 (1998), 41-57. MR 98j:47031.
55.
(with K.-H. Förster) On nonnegative
realizations of rational matrix functions and nonnegative input-output systems,
pp. 89-104 in: Operator Theory: Advances and Applications, Vol. 103, Birkhauser
Verlag,
56.
(with K.-H. Förster) Spectral sets
and projections of operator polynomials, Archiv der Math., 69 (1997), 40-51.
MR 98c:47015.
57.
(with K.-H. Förster) Spectral
properties of rational matrix functions with nonnegative realizations, Lin.
Algebra Appl., 275-276 (1998), 189-200. MR 99c:93026.
58.
Periodic groups of operators in Banach spaces, Proc. Amer. Math. Soc., 126
(1998), 1433-1444. MR 98j:47081.
59.
(with K.-H. Förster) On
nonnegative operators and fully cyclic peripheral spectrum, Electronic J.
Linear Algebra, 3 (February 1998), 13-22. MR 99h:47045.
60.
(with K.-H. Förster) Transfer functions and spectral projections, Publicationes Math., 52 (1998), 367-376.
MR 99e:47014.
61.
(with K.-H. Förster) The index of triangular operator matrices, Proc. Amer. Math. Soc., 128 (2000), 1167-1176.
MR 2000i:47003.
62.
(with K.-H. Förster) Nonnegative realizations of matrix transfer functions, Lin. Algebra Appl., 311
(2000), 107-129. MR 2001b:93014.
63.
(with J. Zemánek) A resolvent condition implying
power boundedness, Studia Math. (Warszawa), 134 (1999), 143-151.
64.
(with K.-H. Förster) Linear independence of
65.
with K.-H. Förster) On spectra of expansion graphs and
matrix polynomials, Lin. Algebra Appl., 363 (2003), 89-101.
66.
(with K.-H. Förster) On
spectra of expansion graphs and matrix polynomials II, Electronic J. Linear
Algebra, 9 (2002), 158-170.
67.
(with K.-H. Förster) Nonnegative unitary
operators, Proc. Amer. Math. Soc., 132
(2004), 1181-1193.
68.
(with M. Matolcsi) Algorithm for positive realization
of transfer functions, IEEE Trans. Circ. Systems, I: Fundamental
Theory and Applications, 50 (2003), 699-702.
69.
(with M. Matolcsi) A lower bound on the dimension of
positive realizations, IEEE Trans. Circ. Systems, I: Fundamental Theory and
Applications, 50 (2003), 782-784.
70.
(with K.-H. Förster) On no nnegative realizations, Posta 2003 Conf.
(Rome), Lecture Notes in Control and Information Sciences, 294 (2003), 305-312.
Springer,
71. (with K.-H. Förster) Connections between
realizations of a transfer function, SIAM J. Matrix Analysis Appl., 25 (2004),
1032-1045.
72. (with M. Matolcsi) Estimates for the
dimensions of nonnegative realizations, Acta Sci. Math. (
73. (with M. Matolcsi) Minimal positive
realizations of transfer functions with nonnegative multiple poles, IEEE
Transactions on Automatic Control, 50 (2005), 1447-1450.
74. (with K.-H. Förster) On
nonmonic quadratic matrix polynomials with nonnegative coefficients, Operator
Theory: Advances and Applications, 162 (2005), 145-163.
75. (with K.-H. Förster) Spectral properties of operator
polynomials with nonnegative coefficients, Operator Theory: Advances and
Applications, 163 (2005), 147-162.
76. (with M. Matolcsi and M. Szilvási) Positive decomposition of transfer
functions with multiple poles, Positive Systems, Eds: Ch.Commault and
N.Marchand, Lecture Notes in Control and Information Sciences No. 341 (2006), 335-342. Springer, Berlin.
77. (with K.-H. Förster) Irreducible Toeplitz and Hankel matrices, Electronic J. Linear Algebra,
15 (2006), 274-284.
78. (with K.-H. Förster and M. Szilvási) A uniform type inverse spectrum theorem for entrywise
nonnegative matrices, Linear Algebra and Applications, 421 (2007), 338-344.
79. (with M. Matolcsi and M. Szilvási) Order bound for the
realization of a combination of positive filters, IEEE Trans. Automatic Contr., 52 (2007), 724-729.
80. (with K.-H. Förster) Rational generating functions and matrix- geometric invariant measures,
Stochastic Models, 23 (2007), 551-573.
81. (with K.-H. Förster) On reducible nonmonic matrix polynomials with
general and nonnegative coefficients, Operator Theory: Advances and
Applications, 175 (2007), 95-109.
82. (with M. Szilvási) An algorithm for the construction of
nonnegative realizations, Acta Sci. Math. (Szeged) 74 (2008), 65-83.
83. Multiplicity of unbounded normal operators and polynomial
approximation in C, J. Funct. Anal.
257 (2009), no. 6, 1655-1665.
84. (with K.-H. Förster and M. Szilvási) Local inverse spectrum theorems for real and nonnegative
matrices, Acta Sci. Math. (Szeged) 76 (2010), no. 1-2, 55-70.
85. Multiplicities, generalized Jacobi matrices and symmetric operators,
Journal of Operator Theory 65 (2011), 211-232.
86. Inverse elementary divisor problems for nonnegative matrices, Operators
and Matrices 5 (2011), 289-301.