Dynamical system induced by weighted tensor sum and tensor product operator with Lie group representations
Downloads
Abstract
In this article we studied about Dynamical System induced by Weighted tensor sum and tensor product operator
and multiplier representations of Lie groups
Keywords:
Weighted tensor sum and tensor product operator, Differentiable manifolds, Multiplier representations, Lie groups, Transformation groups, dynamical Systems, Operator valued mappingMathematics Subject Classification:
Mathematics- Pages: 409-414
- Date Published: 01-01-2021
- Vol. 9 No. 01 (2021): Malaya Journal of Matematik (MJM)
Chernoff. P and Marsden, On continuity and smoothness of group actions, Bull. Amer. Math. Sac., 76(1970), 10441049
H. W. Guggerheimer, Differential Geometry, McGraw Hill Book Company, India (1963).
Hohn M. Lee, Introduction to Smooth Manifolds, Graduate Texts in Mathematics Springer, New York, 2013.
F. Jafari, Z. Slodkowski and T. Tonev, Semigroups of op erations on Hardy spaces and co-cycle of flows, IMA Preprint series 2220 , University of Minhessota, July 2008.
J. S. Manhos, Weighted composition operators on weighted locally convex spaces of analytic function, Southeast Asian Bull. Math., 29(1)(2005), 127-140
W. Miller, Jr, Lie theory and special functions, Academic Press, New York, London, 1968.
Senthilkumar and P. Chandra Kala, Operators and dynamical system in measurable function spaces, Global Journal of Mathematical Sciences: Theory and Practical, $4(2)(2012), 107-114$.
Senthilkumar and P. Chandra Kala, Tensor sum and dynamical systems, Acta Mathematica Scientia, 4(2)(2012), $115-120$.
Senthilkumar, P. Chandra Kala and T. Prasad, Tensor product operators induced Dynamical system on weighted locally convex space, Jordan journal of Mathe matics and Statistics, 6(2013), 169-181.
J. H. Shipro, Composition Operators Classical Function Theory, Universal : Tracts in Mathematics, springer, Newyork, NY, USA, 1993.
R. K. Singh and J. S. Manhas, Composition Operators on Function Spaces, North Holland Mathematics studies, 1993.
R. K. Singh and J. S. Manhas, Multiplication operators and Dynamical systems, J. Austral. Math .Soc. (series A), 53(1992), 92-102.
R. K. Singh and J. S. Manhas, Composition operator on weighted spaces of Vector-valued continuous function, Acta. Sci. Math, 1988, 1-10.
R. K. Singh and D. C. Kumar, Weighted composition operators on functional Hilbert spaces, Bull. Aust. Math. Soc., 31(1985), 117-126.
R. K. Singh and J. S. Manhos, Multiplication operators on weighted spaces of vector valued continuous functions, $J$. Aust. Math. Soc., (Series A), 50(1991), 98-107.
R. K. Singh and J. S. Manhas, Weighted composition operators and weighted spaces of cross-sections, Acta Scientiarum Mathematicarum, 59(1994), 3-4, 1994.
R. K. Singh and J. S. Manhas, Composition operators and Multiplication operators on weighted spaces of analytical functions, Research article, International Journal of Mathematics and Mathematical Sciences, 2007.
R. K. Singh and J. S. Manhas, Composition Operators on Function Spaces, North-Holland Publishing Co., Amsterdom, London, N. Y. 1993.
R. K. Singh and W. H. Summers, Composition operators on weighted spaces of continuous functions, J. Austral. Math Soc. Series A, 45 (1988), 303-319.
R. K. Singh, V. Sahal and V. K. Pandey: Weighted substitution operators on $L^P(mathbb{R})$ and wavelet theory, Mathemat ics Newsletter (Ramanujam Math Soc), 21(2011), 2011, $6-16$
Similar Articles
- B. Rega, C. Durairajan, The q-ary intersecting for (a; a + b) construction code , Malaya Journal of Matematik: Vol. 9 No. 01 (2021): Malaya Journal of Matematik (MJM)
You may also start an advanced similarity search for this article.
Metrics
Published
How to Cite
Issue
Section
License
Copyright (c) 2021 MJM
This work is licensed under a Creative Commons Attribution 4.0 International License.