C * algebras of operators on a half-space
Publications Mathématiques de l'IHÉS, Tome 40 (1971), pp. 59-68 
@article{PMIHES_1971__40__59_0,
     author = {Coburn, L. A. and Douglas, R. G.},
     title = {$C^\ast $ algebras of operators on a half-space},
     journal = {Publications Math\'ematiques de l'IH\'ES},
     pages = {59--68},
     year = {1971},
     publisher = {Institut des Hautes Etudes Scientifiques},
     volume = {40},
     mrnumber = {358417},
     zbl = {0241.47026},
     language = {en},
     url = {https://www.numdam.org/item/PMIHES_1971__40__59_0/}
}
TY  - JOUR
AU  - Coburn, L. A.
AU  - Douglas, R. G.
TI  - $C^\ast $ algebras of operators on a half-space
JO  - Publications Mathématiques de l'IHÉS
PY  - 1971
SP  - 59
EP  - 68
VL  - 40
PB  - Institut des Hautes Etudes Scientifiques
UR  - https://www.numdam.org/item/PMIHES_1971__40__59_0/
LA  - en
ID  - PMIHES_1971__40__59_0
ER  - 
%0 Journal Article
%A Coburn, L. A.
%A Douglas, R. G.
%T $C^\ast $ algebras of operators on a half-space
%J Publications Mathématiques de l'IHÉS
%D 1971
%P 59-68
%V 40
%I Institut des Hautes Etudes Scientifiques
%U https://www.numdam.org/item/PMIHES_1971__40__59_0/
%G en
%F PMIHES_1971__40__59_0
Coburn, L. A.; Douglas, R. G. $C^\ast $ algebras of operators on a half-space. Publications Mathématiques de l'IHÉS, Tome 40 (1971), pp. 59-68. https://www.numdam.org/item/PMIHES_1971__40__59_0/

[1] H. Bohr, Zur Theorie der fastperiodischen Funktionen, II, Acta Math., 46 (1925), 101-214. | JFM

[2] A. Brown and P. R. Halmos, Algebraic properties of Toeplitz operators, J. reine angew. Math., 213 (1964), 89-102. | Zbl | MR

[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. | Zbl

[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. | Zbl | MR

[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. | Zbl | MR | Numdam

[6] J. Dixmier, Les C*-algèbres et leurs représentations, Paris, Gauthier-Villars, 1964). | Zbl | MR

[7] R. G. Douglas, On the spectrum of a class of Toeplitz operators, J. Math. Mech., 18 (1968), 433-436. | Zbl | MR

[8] R. G. Douglas, On extending commutative semigroups of isometries, Bull. London Math. Soc., 1 (1969), 157-159. | Zbl | MR

[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. | Zbl | MR

[10] R. G. Douglas and W. Rudin, Approximation by inner functions, Pacific J. Math., 31 (1969), 313-320. | Zbl | MR

[11] P. R. Halmos, Introduction to Hilbert space, New York, Chelsea, 1951.

[12] E. Hewitt and R. Ross, Abstract harmonic analysis, I, New York, Academic Press, 1963.

[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. | Zbl

[14] W. Rudin, Fourier analysis on groups, Interscience, New York, 1962. | Zbl | MR