A quasi-affine transform of an unbounded operator

Schôichi Ôta

Studia Mathematica (1995)

  • Volume: 112, Issue: 3, page 279-284
  • ISSN: 0039-3223

Abstract

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Some results on quasi-affinity for bounded operators are extended to unbounded ones and normal extensions of an unbounded operator are discussed in connection with quasi-affinity.

How to cite

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Ôta, Schôichi. "A quasi-affine transform of an unbounded operator." Studia Mathematica 112.3 (1995): 279-284. <http://eudml.org/doc/216154>.

@article{Ôta1995,
abstract = {Some results on quasi-affinity for bounded operators are extended to unbounded ones and normal extensions of an unbounded operator are discussed in connection with quasi-affinity.},
author = {Ôta, Schôichi},
journal = {Studia Mathematica},
keywords = {quasi-affine transform; subnormal operator; formally hyponormal operator; quasi-affinity for bounded operators; normal extensions of an unbounded operator},
language = {eng},
number = {3},
pages = {279-284},
title = {A quasi-affine transform of an unbounded operator},
url = {http://eudml.org/doc/216154},
volume = {112},
year = {1995},
}

TY - JOUR
AU - Ôta, Schôichi
TI - A quasi-affine transform of an unbounded operator
JO - Studia Mathematica
PY - 1995
VL - 112
IS - 3
SP - 279
EP - 284
AB - Some results on quasi-affinity for bounded operators are extended to unbounded ones and normal extensions of an unbounded operator are discussed in connection with quasi-affinity.
LA - eng
KW - quasi-affine transform; subnormal operator; formally hyponormal operator; quasi-affinity for bounded operators; normal extensions of an unbounded operator
UR - http://eudml.org/doc/216154
ER -

References

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  1. [1] G. Biriuk and E. A. Coddington, Normal extensions of unbounded formally normal operators, J. Math. Mech. 12 (1964), 617-638. Zbl0129.08603
  2. [2] R. G. Douglas, On the operator equations S*XT=X and related topics, Acta Sci. Math. (Szeged) 30 (1969), 19-32. Zbl0177.19204
  3. [3] J. Janas, On unbounded hyponormal operators, Ark. Mat. 27 (1989), 273-281. Zbl0684.47020
  4. [4] K. H. Jin, On unbounded subnormal operators, Bull. Korean Math. Soc. 30 (1993), 65-70. Zbl0806.47023
  5. [5] M. Martin and M. Putinar, Lectures on Hyponormal Operators, Oper. Theory: Adv. Appl. 39, Birkhäuser, Basel, 1989. 
  6. [6] G. McDonald and C. Sundberg, On the spectra of unbounded subnormal operators, Canad. J. Math. 38 (1986), 1135-1148. Zbl0647.47036
  7. [7] S. Ôta and K. Schmüdgen, On some classes of unbounded operators, Integral Equations Operator Theory 27 (1989), 273-281. Zbl0683.47031
  8. [8] C. R. Putnam, On normal operators in Hilbert space, Amer. J. Math. 73 (1951), 357-362. Zbl0042.34501
  9. [9] H. Radjavi and P. Rosenthal, On roots of normal operators, J. Math. Anal. Appl. 34 (1971), 653-664. Zbl0215.48705
  10. [10] J. G. Stampfli and B. L. Wadhwa, An asymmetric Putnam-Fuglede theorem for dominant operators, Indiana Univ. Math. J. 25 (1976), 359-365. Zbl0326.47028
  11. [11] J. Stochel and F. H. Szafraniec, On normal extensions of unbounded operators II, Acta Sci. Math. (Szeged) 53 (1989), 153-177. Zbl0698.47003
  12. [12] J. Stochel and F. H. Szafraniec, A few assorted questions about unbounded subnormal operators, Univ. Iagel. Acta Math. 28 (1991), 163-170. Zbl0748.47015
  13. [13] B. Sz.-Nagy and C. Foiaş, Harmonic Analysis of Operators on Hilbert Space, North-Holland, Amsterdam, 1970. Zbl0201.45003
  14. [14] J. Weidmann, Linear Operators in Hilbert Spaces, Springer, Berlin, 1980. 

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