| Title:
|
Differentiable manifolds with generalized boundary (English) |
| Author:
|
Graham, George |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
34 |
| Issue:
|
1 |
| Year:
|
1984 |
| Pages:
|
46-63 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
58A05 |
| MSC:
|
58B05 |
| MSC:
|
58C15 |
| MSC:
|
58C20 |
| idZBL:
|
Zbl 0543.58009 |
| idMR:
|
MR731979 |
| DOI:
|
10.21136/CMJ.1984.101925 |
| . |
| Date available:
|
2008-06-09T14:57:50Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101925 |
| . |
| Reference:
|
[1] Banach S.: Théorie des Opérations Linéaires.Warsaw, 1932. Zbl 0005.20901 |
| Reference:
|
[2] Brockett R. W.: Lie algebras and Lie groups in control theory.Geometric Methods in System Theory, Reidel, Boston (1973), 43-82. Zbl 0305.93003 |
| Reference:
|
[3] Dieudonné J.: Foundations of Modern Analysis.Academic Press, New York and London (1960). MR 0120319 |
| Reference:
|
[4] Graham G.: Manifolds with Generalized Boundary and Diflferentiable Semigroups.Ph.D. Thesis, University of Houston, 1979. |
| Reference:
|
[5] Graham G.: The Lie theory of differentiable semigroups.(to appear). MR 0724628 |
| Reference:
|
[6] Graves L. M.: Some mapping theorems.Duke Math. J. 17 (1950), 111-114. Zbl 0037.20401, MR 0035398, 10.1215/S0012-7094-50-01713-3 |
| Reference:
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[7] Hille E., Phillips R. S.: Functional Analysis and Semigroups.Am. Math. Soc, Providence (1957). Zbl 0078.10004, MR 0089373 |
| Reference:
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[8] Hirschorn R.: Topological semigroups, sets of generators and controllability.Duke Math. J., 40 (1973), 937-947. Zbl 0285.22001, MR 0325837 |
| Reference:
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[9] Jurdjevic V., Sussmann H. J.: Control systems on Lie groups.Jour. Differential Eq. 12 (1972), 313-329. Zbl 0237.93027, MR 0331185, 10.1016/0022-0396(72)90035-6 |
| Reference:
|
[10] Kelley J. L.: General Topology.Graduate Texts in Mathematics, vol. 27, Springer-Verlag, New York, Heidelberg, and Berlin. Zbl 0518.54001, MR 0370454 |
| Reference:
|
[11] Lang S.: Introduction to differentiable manifolds.Interscience, New York (1967). MR 0155257 |
| Reference:
|
[12] Leach E. В.: А note on inverse function theorems.Proc. Amer. Math. Soc. 72 (1961), 694 to 697. Zbl 0191.15003, MR 0126146, 10.1090/S0002-9939-1961-0126146-9 |
| Reference:
|
[13] Mostert P. S., Shields A. L.: Semigroups with identity on a manifold.Trans. Am. Math. Soc., 91 (1959), 380-389. Zbl 0205.02602, MR 0105463, 10.1090/S0002-9947-1959-0105463-8 |
| Reference:
|
[14] Nashed M. Z.: Differentiability and related properties of nonlinear operators: Some aspects of the role of differentials in nonlinear functional analysis.Nonlinear Functional Analysis and Applications, L. B. Rail, ed., Academic Press, New York (1971), 109-309. MR 0276840 |
| Reference:
|
[15] Nashed M. Z.: Generalized inverse mapping theorems and related applications of generalized inverses in nonlinear analysis.Nonlinear Equations in Abstract Spaces, V. Lakshmikantham, ed.. Academic Press, New York (1978), 217-252. Zbl 0452.47073, MR 0502545 |
| Reference:
|
[16] Nijenhuis A.: Strong derivatives and inverse mappings.Amer. Math. Monthly 81 (1974), 969-981. Zbl 0296.58002, MR 0360958, 10.1080/00029890.1974.11993706 |
| Reference:
|
[17] Vainberg M. M.: Variational Methods for the Study of Nonlinear Operators.Holden-Day, San Francisco, (1964). Zbl 0122.35501, MR 0176364 |
| Reference:
|
[18] Whitney H.: Analytic extensions of differentiable functions defined in closed sets.Trans. Amer. Math. Soc. 36 (1934), 63-89. Zbl 0008.24902, MR 1501735, 10.1090/S0002-9947-1934-1501735-3 |
| . |
