On some right invertible operators in differential spaces

Multarzyński, P.

Artykuł - szczegóły

Tytuł artykułu

On some right invertible operators in differential spaces

Autorzy

Multarzyński P.

Wybrane pełne teksty z tego czasopisma

http://www.degruyter.com/view/j/dema

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Języki publikacji

Abstrakty

In this paper we consider the right invertibility problem of some linear operators defined on the algebra of smooth function on a differential space.

Słowa kluczowe

linear operators invertible operators differential space smooth functions vector fields

operatory linearne funkcje gładkie operatory odwracalne przestrzeń różniczkowa pole wektorowe

Wydawca

De Gruyter

Czasopismo

Demonstratio Mathematica

Rocznik

2004

Tom

Vol. 37, nr 4

Strony

905--920

Opis fizyczny

Bibliogr. 32 poz.

Twórcy

autor

Multarzyński P.

Faculty of Mathematics and Information Science, Warsaw University of Technology, Pl. Politechniki 1, 00-661 Warszawa, Poland

Bibliografia

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[13] D. Przeworska-Rolewicz, Algebraic Analysis, PWN-Polish Scientific Publishers and D. Reidel, Warszawa-Dordrecht, 1988.
[14] D. Przeworska-Rolewicz, Algebraic theory of right invertible operators, Studia Math. 48 (1973), 129-144.
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[16] D. Przeworska-Rolewicz, Introduction to Algebraic Analysis and its Applications, WNT, Warszawa 1979, in Polish.
[17] D. Przeworska-Rolewicz, Logarithms and Antilogarithms, An Algebraic Analysis Approach, Kluwer Academic Publishers, Dordrecht 1998.
[18] B. Mażbic-Kulma, Differential equations in differential spaces, Studia Math. 39 (1971), 157-161.
[19] G. Virsik, Right inverses of vector fields, J. Austral. Math. Soc. (Series A) 58 (1995), 411-420.
[20] W. F. Warner, Foundations of Differentiable Manifolds and Lie Groups, Springer, New York, Berlin 1983.
[21] Z. Pasternak-Winiarski, Differential groups of class Do and standard charts, Demonstratio Math. 2 (1983), 503-517.
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[23] M. Heller, Algebraic foundations of the theory of differential spaces, Demonstratio Math. 24 (1991), 349-364.
[24] P. Multarzyński, W. Sasin, On the dimension of differential spaces, Demonstratio Math. 23 (1990), 405-415.
[25] P. Multarzyński, W. Sasin, Algebraic characterization of the dimension of differential spaces, Supplemento ai Rendiconti del Circolo Matematico di Palermo, Ser. II No 22 (1989), 193-199.
[26] P. Multarzyński, W. Sasin, Z. Żekanowski, Vectors and vector fields of k-th order, Demonstratio Math. 24 (1991), 557-572.
[27] P. Multarzyński, Z. Żekanowski, On general Hamiltonian dynamical systems in differential spaces, Demonstratio Math. 24 (1991), 539-555.
[28] P. Multarzyński, Whitney topology and the structural stability of smooth mappings in differential spaces, Demonstratio Math. 24 (1991), 495-514.
[29] P. Multarzyński, Z. Pasternak-Winiarski, Differential groups and their Lie algebras, Demonstratio Math., 24 (1991), 515-537.
[30] J. Gruszczak, M. Heller, P. Multarzyński, A Generalization of manifolds as space-time models, J. Math. Phys. 29 (1988), 2576-2580.
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[32] P. Multarzyński, M. Heller, The differential and cone structures of space-time, Found. Phys. 21 (1990), 1005-1015.

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Bibliografia

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