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RISS 인기검색어
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- 저자 : S.K.AYYASWAMY (검색결과 2 건)
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EXTREMELY MEASURABLE SUBALGEBRAS
Ayyaswamy, S.K. Korean Mathematical Society 1985 대한수학회보 Vol.22 No.1
For each a.mem.S and f.mem.m(S), denote by $l_{a}$ f(s)=f(as) for all s.mem.S. If A is a norm closed left translation invariant subalgebra of m(S) (i.e. $l_{a}$ f.mem.A whenever f.mem.A and a.mem.S) containing 1, the constant ont function on S and .phi..mem. $A^{*}$, the dual of A, then .phi. is a mean on A if .phi.(f).geq.0 for f.geq.0 and .phi.(1) = 1, .phi. is multiplicative if .phi. (fg)=.phi.(f).phi.(g) for all f, g.mem.A; .phi. is left invariant if .phi.(1sf)=.phi.(f) for all s.mem.S and f.mem.A. It is well known that the set of multiplicative means on m(S) is precisely .betha.S, the Stone-Cech compactification of S[7]. A subalgebra of m(S) is (extremely) left amenable, denoted by (ELA)LA if it is nom closed, left translation invariant containing contants and has a multiplicative left invariant mean (LIM). A semigroup S is (ELA) LA, if m(S) is (ELA)LA. A subset E.contnd.S is left thick (T. Mitchell, [4]) if for any finite subser F.contnd.S, there exists s.mem.S such that $F_{s}$ .contnd.E or equivalently, the family { $s^{-1}$ E : s.mem.S} has finite intersection property.y.
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S. RAJA BALACHANDAR,S.G. VENKATESH,S.K.AYYASWAMY,K. BALASUBRAMANIAN,K. KRISHNAVENI 장전수학회 2019 Proceedings of the Jangjeon mathematical society Vol.22 No.4
In this paper, the Chebyshev wavelets method for solving a model for HIV infection of CD4+ T-cells is studied. The properties of Chebyshev wavelets and their operational matrices are rst presented and then are used to convert into algebraic equations. Also the convergence and error analysis for the proposed technique is discussed. Illustrative examples are given to demonstrate the valid- ity and applicability of the technique. The eciency of the proposed method is compared with other traditional methods and it is observed that the Chebyshev wavelet method is more convenient than the other methods in terms of applica- bility, eciency, accuracy, error and computational eort.
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