doc. Michal Zajac

Email: <zajacm AT>

List of Publications

  1. ZAJAC,M.: Continuity of the spectrum of norm-normal matrices, Math.Slovaca 28 (1978), 317-319.
  2. ZAJAC,M.: Hyperinvariant subspace lattice of some Co - contractions, Math.Slovaca 31 (1981), 397-404.
  3. ZAJAC,M.: Hyperinvariant subspace lattice of weak contractions, Math.Slovaca 33 (1983), 75-80.
  4. ZAJAC,M.: Hyperinvariant subspaces of weak contractions, Operator Theory: Advences and Appl. 14 (1984), 291-299.Birkhäuser Verlag Basel.
  5. ZAJAC,M.: Hyperinvariant subspaces lattice of isometries, Math. Slovaca 37 (1987), 291-297.
  6. ZAJAC,M.: Hyperinvariant subspaces of weak contractions II, Operator Theory: Advances and Appl. 28 (1988), 317-322.
  7. ZAJAC,M.: On the singular unitary part of a contraction, Rev. Roumaine Math.Pures Appl. 35 (1990), 379-384.
  8. KOSIEK,M.-ZAJAC,M.: Lebesgue-type decomposition of pairs of commuting contractions, Math. Balkanica 4 (1990), 16-21.
  9. ZAJAC,M.:On a fixed point theorem of Greguš,jr.,Publ.Math.(Debrecén) 39 (1991), 295-297.
  10. ZAJAC,M.: Hyper-reflexivity of isometries and weak contractions, J.Operator Theory 25 (1991), 43-51.
  11. DUCHOŇ,M.-ZAJAC,M.: Convolution of Spectral Mappings, Topology, measures and Fractals, Mathematical Research 66, Berlin (1992), 9-14.
  12. ZAJAC,M.-DRAHOVSKÝ,Š.: Hyperreflexive operators on finite dimensional Hilbert spaces, Math. Bohemica 118 (1993), No.3, 249-254.
  13. ZAJAC,M.: Operators Whose Eigenvectors Span the Space, Tatra Mounatains Math.Pub., 3 (1993), 245-249.
  14. DRAHOVSKÝ,Š.-ZAJAC,M.:Hyperinvariant subspaces of operators on Hilbert spaces, Functional analysis and operator theory, Banach Center Publications 30 (1994) 117-126.
  15. ZAJAC, M.: A quasi-nilpotent operator with reflexive commutant, Studia Mathematica 118 (1996), No.3, 277-283.
  16. ZAJAC,M.: Rate on Convergence to Zero of Powers of an Hyper-reflexive Operator, Proceedings of the Workshop on Functional Analysis and its Applications in Mathematical Physicsn and Optimal Control, September 10-14, 1997, Nemecká, Slovak Republic, pp. 42-43.
  17. ZAJAC,M., MÜLLER,V.: A quasi-nilpotent operator with reflective commutant,II, Studia Mathematica 132 (2) (1999), pp.173-177.
  18. ZAJAC,M.: Reflexivity of intertwining operators in finite dimensional spaces, In: I.Bock, M.Zajac (Eds.), 2nd Workshop on Functional Analysis and its Applications. Proceedings. September 13-18, 1999, Nemecká, Slovak Republik, pp. 75-78.
  19. ZAJAC, M.: Reflexivity of Operators Intertwining Contractions, 3rd Workshop Functional Analysis and and its Applications, September 4-9, 2001, Nemecká 77-79.
  20. UŠÁKOVÁ,A., KOTULIAKOVÁ,J., ZAJAC,M.:Using of Discrete Orthogonal Transforms for Convolution,, Journal of Electrical Engineering, 53, No.9-10 (2002), 285-288.
  21. KOTULIAKOVÁ,J., ZAJAC,M., UŠÁKOVÁ,A.: Walsh – Hadamard Transformation of a Convolution , Radioengineering, 11, No.3 (2002), 40- 42.
  22. ZAJAC, M.: Commutant Lifting Theorem in Control Enginering, Proceedings of 4th Workshop „Functional Analysis and its Applications“, September 8-13, 2003, Nemecká, Slovakia, pp. 66–68.
  23. ZAJAC, M.: On the Hyperreflexivity of the Space of Intertwining Operators, Proceedings of the 5th Workshop Functional Analysis and its Applications, September 12-17, 2005, Nemecká, Slovakia, pp. 80-83.
  24. RIEČANOVÁ, Z., MARINOVÁ, I., ZAJAC, M.: Some Aspects of Lattice and Generalized Prelattice Effect Algebras, Lecture Notes in Artificial Inteligence Vol. 4342: Theory and Application of Relational Structuress Knowledge Instruments II, Subseries of LNCS, Springer-Verlag, Berlin, Heidelberg, 2006, pp.290-317
  25. ZAJAC, M.: On reflexivity and hyperreflexivity of some spaces of intertwining operators, Mathematica Bohemica 133 (2008), No.1, pp.75-83.
  26. BRAČIČ, J., MÜLLER, V., ZAJAC, M.: Reflexivity and Hyberreflexivity of the Space of Locally Intertwinning Operators, Journal of Operator Theory 63 (2010), pp. 101−114.
  27. BRAČIČ, J.ZAJAC, M.: Hyperreflexivity constants of 2-by-2 matrices and some non-hyperreflexive reflexive spaces of operators, 7-th Workshop Functional Analysis and its Applications, September 14-19, 2009, Nemecká, Slovakia, pp.14-18.
  28. BESSONOV, R.V., BRAČIC , J., ZAJAC, M.: Non-Hyperreflexive Reflexive Spaces of Operators, Studia Mathematica 202 (1), 2011, pp. 65-80
  29. RIEČANOVÁ, Z., ZAJAC, M.: Extensions of effect algebra operations, Acta Polytechnica 51, No. 4, 2011, pp. 73-77
  30. ZAJAC, M.: Examples of non-hyperreflexive reflexive spaces of operators, Proceedings of the 8th Workshop Functional Analysis and its Applications, September 5-10, 2011, Nemecká, Slovakia, pp.~56-59.
  31. RIEČANOVÁ, Z., ZAJAC, M., PULMANNOVÁ, S.: Effect Algebras of Positive Linear Operators Densely Defined on Hilbert Spaces, Reports on Mathematical Physics 68 (2011), No.3, pp.261-270.
  32. PULMANNOVÁ, S., RIEČANOVÁ, Z., ZAJAC, M.: Topological properties of operator generalized effect algebras, Reports on Mathematical Physics 69 (2012), No.3, pp.311-320
  33. RIEČANOVÁ, Z., ZAJAC, M.: Hilbert Space Effect-Representations of Effect Algebras, Reports on Mathematical Physics 70, (2012) No. 3. pp. 283-290
  34. BRAČIČ, J., ROZBOROVÁ, V., ZAJAC, M.: Hyperreflexiviy constants of some spaces of matrices, Linear Algebra and its Applications 439 (2013), pp. 1340-1349.
  35. ZAJAC, M.: Hyperreflexivity constants — a numerical experiment., Proceedings of 9th Workshop on Functional Analysis and its Applications in Mathematical Physics and Optimal Control, September 9-14, 2013, Nemecká, pp. 50-52.
  36. RIEČANOVÁ, Z., ZAJAC, M.: Intervals in Generalized Effect Algebras and their Sub-Generalized Effect Algebras, Acta Polytechnica : Journal of Advanced Engineering Vol. 53, No. 3. (2013) pp. 314--316.


MichalZajac (last edited 2013-11-19 14:56:11 by MichalZajac)