Three classes of smooth Banach submanifolds in B(E, F)

Jipu Ma

Front. Math. China ›› 2006, Vol. 1 ›› Issue (3) : 476 -479.

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Front. Math. China ›› 2006, Vol. 1 ›› Issue (3) : 476 -479. DOI: 10.1007/s11464-006-0020-z
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Three classes of smooth Banach submanifolds in B(E, F)

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semi-Fredholm operators / smooth submanifold / transversality / generalized inverse / 42B35 / 46E35 / 43A99

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Jipu Ma. Three classes of smooth Banach submanifolds in B(E, F). Front. Math. China, 2006, 1(3): 476-479 DOI:10.1007/s11464-006-0020-z

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Abraham R., Marsden J. E., Ratiu T. Manifold, Tensor Analysis and Its Applications, 1988, New York: Springer-Verlag.

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Ma J. P. A generalized Transversality in global analysis. Analysis in Theory and Applications, 2004, 20(4): 391-394.

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Arnold V. I. Geometrical Methods in Theory of Ordinary Differential Equations, 1988, New York: Springer-Verlag.

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Kahn D. W. Introduction to Global Analysis, 1980, New York: Academic Press.

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Zeidler E. Nonlinear Functional Analysis and Its Applications IV, 1988, New York: Springer-Verlag.

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Wang Y. Operator Generalized Inverse Theory in Banach Space and Its Applications. Series in Foundation of Modern Mathematics, 94, 2005, Beijing: Science Press.

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Ma J. P. Local conjugacy theorem, rank theorems in advanced calculus and generalized principle constructing Banach manifolds. Science in China, Ser, A, 2000, 43(12): 1233-1237.

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Cafagna V. Milojev c. P. S. Global invertibility and finite solvability. Nonlinear Functional Analysis, 1989, New York: Marcel Dekker, 1-30.

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