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.

 

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. (Szeged), 70 (2004), 511-524.

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.