Publications of B. Nagy
1. On an extension of the
notions of conditional expectation
and martingales. Debrecen, 1968. Thesis for the degree Doctor Nat.
Sci.,
pp. 46 (in Hungarian).
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. Budapest, 1974. Thesis
for the degree Cand. Math. Sci., pp. 85 (in Hungarian).
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, Basel, 1981. MR 84a:47040.
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, Basel, 1982. MR 84f:47038.
30. Differential operators and
spectral decomposition,
pp. 891-917 in: Colloquia Math. Soc. J. Bolyai, 35: Functions, Series,
Operators
(Budapest, 1980), North Holland, Amsterdam, 1983. MR 85m:47034.
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. Budapest, 1984. Thesis for the degree Doctor Math. Sci.
(in
Hungarian).
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, Basel, 1988. MR
89g:47049.
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
Jordan ideals in $B(c_
circ )$ and $B(l^p)$, Proc. Amer. Math. Soc., 117 (1993), 673-679. MR
93d:47086.
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, New York, 1994, pp. 327-336. MR 95j:47042.
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,
Basel, 1998. MR 99f:93022.
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 Jordan chains,
Operator Theory: Advances and Applications, Vol. 122 (2001), 229-245,
Birkhäuser
Verlag. MR 2003a:47030.
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, Berlin.