Sequence Spaces and Applications

Part 1 Sequence Spaces: Classical Sequence Spaces - the Orlicz Sequence Space With the B-Property, B.L. Lin and Z. Shi, The Space of Entire Sequences, K. Chandrashekhar Rao; Universal Murielak-Orlicz Sequence Spaces, M. Moitowicz; Duals and Matrix Transformation - The Second Dual of Some Sequence Spaces, S.D. Unonigsih and L.P. Lee, On Generalized Matrix Domains, E. Malkowski, Generalized Sets of Difference Sequences, Their Duals and Matrix Transformations, E. Malkowski et al; Structure and Topology - Multipliers or Sequence Spaces, W.H. Ruckle; Weakly Sequential Compactness of Banach Valued Sequence Space 1p(X), Q.Y. Bu, Algebraic Properties Implying Weak Sequential Completeness, C. Swartz; Applications - Sequence Space Representations of D(Mk),Lp) and D(Mk),Lp), R.S. Pathak, Geometry of Star Algebras and Sequence Spaces, A.K. Gaur and N.R. Nandkumar, The Tauberian Gap Theorem for the Abel method, H. Tietz and K. Zeller. Part 2 Functional Analysis: A Class of Nuclear Operators, I.J. Maddox; Self Jung Constants and Product Spaces, E. Casini and P.L. Papini; On Implicit Complementarity Problem, K. Ahmad et al; Strict Convexity and Approximation in Metric Spaces, T.D. Narang.

This text on sequence spaces and applications covers such topics as: classical sequence spaces; duals and matrix transformation; structure and topology; geometry of star algebras and sequence spaces; the Tauberian Gap theorem for the Abel Method; and functional analysis.