List of publications

  1. Submitted Papers:

  1. P. Budzyński, Jan Stochel, Joint subnormality of $n$-tuples and $C_0$-semigroups of composition operators on $L^2$-spaces,

  1. D. Cichoń, Il Bong Jung, Jan Stochel, Striving for normality: local spectral radii and $C_0$-semigroups,

II. Papers accepted for publication:

  1. D. Cichoń, Jan Stochel, Subnormality, analyticity and perturbations,

to appear in Rocky Mountain Journal of Mathematics

  1. Z. J. Jabłoński, J. Stochel, F. H. Szafraniec, Unitary propagation of operator data,

to appear in Proceedings of the Edinburgh Mathematical Society

  1. Z. Sebestyen, Jan Stochel,, Characterizations of positive selfadjoint extensions,

to appear in Proc. Amer. Math. Soc.

III. Published papers:

  1. D. Cichoń, J. Stochel, F. H. Szafraniec, Selfadjointness of integral and matrix operators,

J. London Math. Soc. 73 (2006), 762-782.

  1. W. Majdak, Z. Sebestyen, J. Stochel, J. E. Thomson, A local lifting theorem for subnormal operators,

Proc. Amer. Math. Soc., 134 (2006), 1687-1699.

  1. Z. J. Jabłoński, I. Jung, J. Stochel, Backward Extensions of Hyperexpansive Operators,

Studia Mathematica, 173 (2006), 233-257.

  1. D. Cichoń, J. Stochel, F. H. Szafraniec, Three term recurrence relation modulo ideal and orthogonality of polynomials of several variables,

Journal of Approximation Theory, 134 (2005), 11-64.

  1. J. Stochel, Logarithmic concavity, unitarity and selfadjointness,

Banach Center Publ. 67 (2005), 335-348.

  1. Z. J. Jabłoński, J. Stochel, Subnormality and operator multidimensional moment problems,

J. London Math. Soc. 71 (2005), 438-466.

  1. Z. Sebestyen, J. Stochel, Reflection symmetry and symmetrizability of Hilbert space operators,

Proc. Amer. Math. Soc. 133 (2004), 1727-1731.

  1. D. Cichoń, J. Stochel, F. H. Szafraniec, Noncommuting domination,

Operator Theory: Advances and Applications 154 (2004), 19-33.

  1. I. Jung, A. Lambert, J. Stochel, Backward extensions of subnormal operators,

Proc. Amer. Math. Soc. 132 (2004), 2291-2302.

  1. Z. Sebestyen, J. Stochel, On products of unbounded operators,

Acta Math. Hungar. 100 (2003), 105-129.

  1. J. Stochel, F. H. Szafraniec, Domination of unbounded operators and commutativity,

J. Math. Soc. Japan 55 (2003), no. 2, 405-437.

  1. J. Stochel, Lifting strong commutants of unbounded subnormal operators,

Integral Equations and Operator Theory 43 (2002), 189-214.

  1. J. Stochel, F.H. Szafraniec, A peculiarity of the creation operator,

Glasgow Math. J. 44 (2002), 137-147.

  1. J. Stochel, Solving the truncated moment problem solves the full moment problem,

Glasgow Math. J. 43 (2001), 335-341.

  1. J. Stochel, F.H. Szafraniec, Unitary dilation of several contractions,

Operator Theory: Adv. Appl. 127, Birkhauser, Basel 2001, 585-598.

  1. Z. J. Jabłoński, J. Stochel, Unbounded 2-hyperexpansive operators,

Proc. Edinburgh Math. Soc. 44 (2001), 613-629.

  1. J. Stochel, An asymmetric Putnam-Fuglede theorem for unbounded operators,

Proc. Amer. Math. Soc. 129 (2001), 2261-2271.

  1. J. Stochel, F.H. Szafraniec, Circular invariance of the Weyl form of the canonical

commutation relation, in Mathematical Physics and Stochastic Analysis:

Essays in Honour of Ludwig Streit, eds. S. Albeverio, Ph. Blanchard, L. Ferreira,

T. Hida, Y. Kondratiev, R. Vilela Mendes, pp. 379-383, World Scientific,

Singapore, 2000.
  1. J. Stochel, F.H. Szafraniec, The complex moment problem and subnormality:

a polar decomposition approach, J. Funct. Anal. 159 (1998), 432-491.
  1. J. Stochel, Positive definiteness and commutativity of operators,

Proc. Amer. Math. Soc. 126 (1998), 431-440.
  1. A. Daniluk, J. Stochel, Seminormal composition operators induced by

affine transformations, Hokkaido Math. J. 26 (1997), 377-404.
  1. D. Cichoń, J. Stochel, On Toeplitz operators in Segal-Bargmann spaces,

Univ. Iagel. Acta Math. 34 (1997), 35-43.
  1. J. Stochel, F.H. Szafraniec, C^\infty-vectors and boundedness,

Ann. Polon. Math. 66 (1997), 223-238.
  1. J. Janas, J. Stochel, Selfadjoint operator matrices with finite rows,

Ann. Polon. Math. 66 (1997), 155-172.
  1. J. Stochel, Seminormality of operators from their tensor product,

Proc. Amer. Math. Soc. 124 (1996), 135-140.
  1. J. Janas, J. Stochel, Unbounded Toeplitz operators in the Segal-Bargmann space. II,

J. Funct. Anal. 126 (1994), 418-447.
  1. J. Stochel, F.H. Szafraniec, Algebraic operators and moments on algebraic sets,

Portugaliae Mathematica 51 (1994), 25-45.
  1. J. Stochel, T.S. Todorov, Characterizations of cyclic *-representations with equal

weak and strong commutants, J. Math. Phys. 33 (1992), 4190-4195.
  1. W. Mlak, J. Stochel, A note on coherent states related to weighted shifts,

Publ. RIMS, Kyoto Univ. 28 (1992), 587-593.
  1. Z. Sebestyen, J. Stochel, J. Paez, Restrictions of normal operators,

Acta Math. Hung. 59 (1992), 377-381.
  1. J. Stochel, Moment functions on real algebraic sets, Ark. Mat. 30 (1992), 133-148.
  1. J. Stochel, Decomposition and disintegration of positive definite kernels

on convex *-semigroups, Ann. Polon. Math. 56 (1992), 243-294.
  1. J. Paez, Z. Sebestyen, J. Stochel, Restrictions of compact normal operators,

Acta Math. Hung. 57 (1991), 313-314.
  1. M. Słociński, J. Stochel, Weighted square summable and generalized harmonizable

sequences, Probab. Math. Statist. 12 (1991), 99-111.
  1. J. Stochel, T.S. Todorov, On the characterization of cyclic *-representations with

equal weak and strong commutants: on GNS representations induced by normal

functionals (commutative case), C. R. Acad. Bulgare Sci. 44, No 4, (1991), 9-11.
  1. J. Stochel, F.H. Szafraniec, A few assorted questions about unbounded

subnormal operators, Univ. Iagel. Acta Math. 28 (1991), 163-170.
  1. J. Stochel, Smooth positive definite functions on some multiplicative semigroups,

Rend. Circ. Mat. Palermo 40 (1991), 153-176.
  1. J. Stochel, T.S. Todorov, On the characterization of cyclic *-representations with

equal weak and strong commutants: domination of functionals and a general

notion of normality, C. R. Acad. Bulgare Sci. 44, No 3, (1991), 7-9.
  1. Z. Sebestyen, J. Stochel, Restrictions of positive self-adjoint operators,

Acta Sci. Math. (Szeged) 55 (1991), 149-154.
  1. J. Stochel, Characterizations of subnormal operators, Studia Math. 97 (3) (1991),

227-238.
  1. J. Stochel, Seminormal composition operators on L^2 spaces induced by matrices,

Hokkaido Math. J. 19 (1990), 307-324.
  1. J. Stochel, F.H. Szafraniec, The normal part of an unbounded operator,

Nederl. Akad. Wetensch. Proc. Ser. A 92 (1989), 495-503.
  1. J. Stochel, F.H. Szafraniec, On normal extensions of unbounded operators. III.

Spectral properties, Publ. RIMS, Kyoto Univ. 25 (1989), 105-139.
  1. J. Stochel, F.H. Szafraniec, Unbounded weighted shifts and subnormality,

Integral Equations Operator Theory 12 (1989), 146-153.
  1. J. Stochel, F.H. Szafraniec, On normal extensions of unbounded operators. II,

Acta. Sci. Math. (Szeged) 53 (1989), 153-177.
  1. J. Stochel, Dilatability of sesquilinear form-valued kernels,

Ann. Polon. Math. 48 (1988), 1-29.
  1. J. Stochel, The Bochner-Kolmogorov extension theorem for semi-spectral measures,

Colloq. Math. 54 (1987), 83-94.
  1. J. Stochel, On an operator moment problem on *-semigroups,

Operator Theory: Adv. Appl. 24, Birkhauser, Basel 1987, 301-311.
  1. J. Stochel, On the Sz.-Nagy boundedness condition on abelian involution semigroups,

Colloq. Math. 54 (1987), 267-271.
  1. J. Stochel, The Fubini theorem for semi-spectral integrals and semi-spectral represen-

tations of some families of operators, Univ. Iagel. Acta Math. 26 (1987), 17-27.
  1. J. Stochel, F.H. Szafraniec, On normal extensions of unbounded operators. I,

J. Operator Theory 14 (1985), 31-55.
  1. J. Stochel, Decomposition and integral representation of covariance kernels,

Bull. Acad. Polon. Sci. Ser. Sci. Math. 33 (1985), 367-376.
  1. J. Stochel, F.H. Szafraniec, Boundedness of linear and related nonlinear maps, II,

Expo. Math. 2 (1984), 283-287.
  1. J. Stochel, On the Sz.-Nagy boundedness condition on non-abelian involutory

semigroups, Operator Theory: Adv. Appl. 14, Birkhauser, Basel 1984, 251-260.
  1. J. Stochel, Note on similarity to contractions, Univ. Iagel. Acta Math. 24 (1984),

19-26.
  1. J. Stochel, F.H. Szafraniec, A characterization of subnormal operators,

Operator Theory: Adv. Appl. 14, Birkhauser, Basel 1984, 261-263.
  1. J. Stochel, F.H. Szafraniec, Boundedness of linear and related nonlinear maps. I,

Expo. Math. 1 (1983), 71-75.
  1. J. Stochel, F.H. Szafraniec, Bounded vectors and formally normal operators,

Operator Theory: Adv. Appl. 11, Birkhauser, Basel 1983, 363-370.
  1. J. Stochel, The Bochner type theorem for *-definite kernels on abelian *-semigroups

without neutral element, Operator Theory: Adv. Appl. 11, Birkhauser,

Basel 1983, 345-362.
  1. J. Stochel, W. Szymański, On the uniqueness of minimal R-dilations

for unstarred semigroups, Indiana Univ. Math. J. 32 (1983), 793-800.
  1. J. Stochel, Individual boundedness condition for positive definite

sesquilinear form valued kernels, Studia Math. 74 (1982), 293-302.
  1. J. Stochel, A note on general operator dilations over *-semigroups,

Bull. Acad. Polon. Sci. Ser. Sci. Math. 28 (1980), 149-153.
  1. J. Stochel, Dilations of inductive limits of operator functions,

Bull. Acad. Polon. Sci. Ser. Sci. Math. 28 (1980), 143-148.