ISSN ONLINE(2319-8753)PRINT(2347-6710)

A Subset of the Space of the Orlicz Space of   Sequences

B.Baskaran1, S.Thalapathiraj2
  1. Professor, Department of Mathematics, SRM University, Tamilnadu, India
  2. Assistant Professor, Department of Mathematics, SRM University, Tamilnadu, India
Related article at Pubmed, Scholar Google

Visit for more related articles at International Journal of Innovative Research in Science, Engineering and Technology

Abstract

Let   M denote the space of all Orlicz space gai rate sequences. Let M  denote the space of all Orlicz space of analytic rate sequences. Mainly in this paper in studied the general properties of Sectional space  M S   of (   M ).

Keywords

Orlicz space, rate sequence, FK space, AK space

I.INTRODUCTION

image
image
image
image
image
image
image
image
image
image
image
image
image
image

ACKNOWLEDGMENT

The third author dedicate this journal to Dr. N. Subramanian, Professor, Department of Mathematics, Sastra University, Thanjavur, Tamil Nadu, India.

References

[1] Lindenstrauss.J and Tzafriri.L, On Orlicz sequence spaces, Israel J.Math.,10 , 379 – 390,1971.

[2] Parashar.S.D and Choudhary.B, Sequence spaces defined by Orlicz functions, Indian J. Pure Appl. Math., 25 (4) , 419 – 428,1994..

[3] ursaleen.M, Khan. M.Aand Qamaruddin, Difference sequence spaces defined by orlicz functions, demonstratio math., Vol. XXXII , 145- 150,1999.

[4] Bektas.C and Altin.Y, The sequence space Lm (p.q.s) on seminormed spaces, Indian J.Pure Appl. Math.,34(4) , 529- 534,2003

[5] Tripathy.B.C, Etand.M Altin.Y, Generalized difference sequence spaces defined by orlicz function in a locally conver space, J.Analysis and Applications, 1 (3) (2003). 175-192,2003.

[6] Chndrasekhara Rao.K and Subramanian.N, The Orlicz space of entire sequences, Int. J.Math. Math.Sci 68 ,3755 – 3764,2004.

[7] Krasnoeselskii.M.A and Rutickii.Y.B, convex functions and orlicz spaces, Gorningen, Netherlands, 1961

[8] Ruckle.W.H, FK spaces in which the sequence of coordinate vectors is bounded, canad. J. Math., 25 , 973 – 978,1973.

[9] Maddox.I.J, sequence spaces defined by a modulus, Math, Proc. Cambridge Philos. Soc.100 (1) , 161- 166,1986

[10] Wilansky.A, Summability through Functional Analysis, North- Bolland Math ematical studies, North – Holland Publishing, Amsterdam, Vol.85, 1984

[11] Kamthan.P.K, Bases in a certain class of Frechet space, Tamkang J. Math., 41- 49,1976

[12] Sridhar.S, A matrix transformation between some sequence spaces, Acta Ciencia Indica, 5, 194 – 197,1979.

[13] Sirajiudeen.S.M, Matrix transformations of co (p), l (p), lp and l into x, Indian J.Pure Appl. Math. 12(9) , 1106-1113,1981

[14] Chandrasekara Rao .K and Subramanian.N, The Semi Orlicz space of analytic sequences, Thai Journal of Mathematics, Vol.2 (No.1), 197 – 201,2004

[15] Balasuramanian.S, contribution to the orlicz space of Gai sequence spaces, Phd., thesis, Bharathidasan University, Trichy.,2010.

[16] Baskaran.B.(Alpha,Beta)-orthogonally and a charachterization of 2 inner product spaces,Indian journal of mathematics,vol-48,373- 381,2006.

[17] Kizmas.H,On certain sequence spaces, canad Math.Bull.,24(2),169-176,1981..

[18] Nakano, Concave modulars, J. Math. Soc. Japan, 5 , 29-49 ,1953