# A quasi-affine transform of an unbounded operator

Studia Mathematica (1995)

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

## Access Full Article

top## Abstract

top## How to cite

topÔta, 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

top- [1] G. Biriuk and E. A. Coddington, Normal extensions of unbounded formally normal operators, J. Math. Mech. 12 (1964), 617-638. Zbl0129.08603
- [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] J. Janas, On unbounded hyponormal operators, Ark. Mat. 27 (1989), 273-281. Zbl0684.47020
- [4] K. H. Jin, On unbounded subnormal operators, Bull. Korean Math. Soc. 30 (1993), 65-70. Zbl0806.47023
- [5] M. Martin and M. Putinar, Lectures on Hyponormal Operators, Oper. Theory: Adv. Appl. 39, Birkhäuser, Basel, 1989.
- [6] G. McDonald and C. Sundberg, On the spectra of unbounded subnormal operators, Canad. J. Math. 38 (1986), 1135-1148. Zbl0647.47036
- [7] S. Ôta and K. Schmüdgen, On some classes of unbounded operators, Integral Equations Operator Theory 27 (1989), 273-281. Zbl0683.47031
- [8] C. R. Putnam, On normal operators in Hilbert space, Amer. J. Math. 73 (1951), 357-362. Zbl0042.34501
- [9] H. Radjavi and P. Rosenthal, On roots of normal operators, J. Math. Anal. Appl. 34 (1971), 653-664. Zbl0215.48705
- [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] J. Stochel and F. H. Szafraniec, On normal extensions of unbounded operators II, Acta Sci. Math. (Szeged) 53 (1989), 153-177. Zbl0698.47003
- [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] B. Sz.-Nagy and C. Foiaş, Harmonic Analysis of Operators on Hilbert Space, North-Holland, Amsterdam, 1970. Zbl0201.45003
- [14] J. Weidmann, Linear Operators in Hilbert Spaces, Springer, Berlin, 1980.

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.