C * algebras of operators on a half-space

L. A. Coburn; R. G. Douglas

Publications Mathématiques de l'IHÉS (1971)

  • Volume: 40, page 59-68
  • ISSN: 0073-8301

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Coburn, L. A., and Douglas, R. G.. "$C*$ algebras of operators on a half-space." Publications Mathématiques de l'IHÉS 40 (1971): 59-68. <http://eudml.org/doc/103913>.

@article{Coburn1971,
author = {Coburn, L. A., Douglas, R. G.},
journal = {Publications Mathématiques de l'IHÉS},
language = {eng},
pages = {59-68},
publisher = {Institut des Hautes Études Scientifiques},
title = {$C*$ algebras of operators on a half-space},
url = {http://eudml.org/doc/103913},
volume = {40},
year = {1971},
}

TY - JOUR
AU - Coburn, L. A.
AU - Douglas, R. G.
TI - $C*$ algebras of operators on a half-space
JO - Publications Mathématiques de l'IHÉS
PY - 1971
PB - Institut des Hautes Études Scientifiques
VL - 40
SP - 59
EP - 68
LA - eng
UR - http://eudml.org/doc/103913
ER -

References

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  1. [1] H. BOHR, Zur Theorie der fastperiodischen Funktionen, II, Acta Math., 46 (1925), 101-214. JFM51.0212.02
  2. [2] A. BROWN and P. R. HALMOS, Algebraic properties of Toeplitz operators, J. reine angew. Math., 213 (1964), 89-102. Zbl0116.32501MR28 #3350
  3. [3] L. A. COBURN, The C*-algebra generated by an isometry, I, Bull. Amer. Math. Soc., 73 (1967), 722-726 ; II, Trans. Amer. Math. Soc., 137 (1969), 211-217. Zbl0153.16603
  4. [4] L. A. COBURN and R. G. DOUGLAS, Translation operators on the half-line, Proc. Nat. Acad. Sci., U.S.A., 62 (1969), 1010-1013. Zbl0181.40801MR43 #985
  5. [5] L. A. COBURN, R. G. DOUGLAS, D. G. SCHAEFFER and I. M. SINGER, On C*-algebras of operators on a half-space, II, Index Theory, Publ. Math. I.H.E.S. n° 40 (1971), 69-80. Zbl0241.47027MR50 #10884
  6. [6] J. DIXMIER, Les C*-algèbres et leurs représentations, Paris, Gauthier-Villars, 1964). Zbl0152.32902MR30 #1404
  7. [7] R. G. DOUGLAS, On the spectrum of a class of Toeplitz operators, J. Math. Mech., 18 (1968), 433-436. Zbl0177.41203MR39 #799
  8. [8] R. G. DOUGLAS, On extending commutative semigroups of isometries, Bull. London Math. Soc., 1 (1969), 157-159. Zbl0187.06501MR39 #7458
  9. [9] R. G. DOUGLAS, On the spectrum of Toeplitz and Wiener-Hopf Operators, Proceedings of Conference on Abstract Spaces and Approximations at Oberwolfach, Basel, Birkhäuser Verlag, 1969. Zbl0187.37903MR41 #4274
  10. [10] R. G. DOUGLAS and W. RUDIN, Approximation by inner functions, Pacific J. Math., 31 (1969), 313-320. Zbl0189.13803MR40 #7814
  11. [11] P. R. HALMOS, Introduction to Hilbert space, New York, Chelsea, 1951. Zbl0045.05702
  12. [12] E. HEWITT and R. ROSS, Abstract harmonic analysis, I, New York, Academic Press, 1963. Zbl0115.10603
  13. [13] M. G. KREIN, Integral equations on a half-line whose kernel depends on the difference of its argument, Uspehi Mat. Nauk, 13 (1958), 1-120 ; Amer. Math. Soc. Transl. (2), 163-288. Zbl0119.09601
  14. [14] W. RUDIN, Fourier analysis on groups, Interscience, New York, 1962. Zbl0107.09603MR27 #2808

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