C * algebras of operators on a half-space
Coburn, L. A. ; Douglas, R. G.
Publications Mathématiques de l'IHÉS, Tome 40 (1971), p. 59-68 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU) 
@article{PMIHES_1971__40__59_0,
     author = {Coburn, L. A. and Douglas, Ronald},
     title = {$C^\ast $ algebras of operators on a half-space},
     journal = {Publications Math\'ematiques de l'IH\'ES},
     volume = {40},
     year = {1971},
     pages = {59-68},
     mrnumber = {50 \#10883},
     zbl = {0241.47026},
     language = {en},
     url = {http://dml.mathdoc.fr/item/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. http://gdmltest.u-ga.fr/item/PMIHES_1971__40__59_0/

[1] H. Bohr, Zur Theorie der fastperiodischen Funktionen, II, Acta Math., 46 (1925), 101-214. | JFM 51.0212.02

[2] A. Brown and P. R. Halmos, Algebraic properties of Toeplitz operators, J. reine angew. Math., 213 (1964), 89-102. | MR 28 #3350 | Zbl 0116.32501

[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 0153.16603

[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. | MR 43 #985 | Zbl 0181.40801

[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. | Numdam | MR 50 #10884 | Zbl 0241.47027

[6] J. Dixmier, Les C*-algèbres et leurs représentations, Paris, Gauthier-Villars, 1964). | MR 30 #1404 | Zbl 0152.32902

[7] R. G. Douglas, On the spectrum of a class of Toeplitz operators, J. Math. Mech., 18 (1968), 433-436. | MR 39 #799 | Zbl 0177.41203

[8] R. G. Douglas, On extending commutative semigroups of isometries, Bull. London Math. Soc., 1 (1969), 157-159. | MR 39 #7458 | Zbl 0187.06501

[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. | MR 41 #4274 | Zbl 0187.37903

[10] R. G. Douglas and W. Rudin, Approximation by inner functions, Pacific J. Math., 31 (1969), 313-320. | MR 40 #7814 | Zbl 0189.13803

[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 0119.09601

[14] W. Rudin, Fourier analysis on groups, Interscience, New York, 1962. | MR 27 #2808 | Zbl 0107.09603