Abstract
This chapter treats, in the bicomplex context, the basic properties of linear functionals and linear operators. The notion of boundedness is given in terms of hyperbolic valued norms, thus allowing more similarity with the classical case. The bicomplex analogs of polarization identities are presented.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
R. Gervais Lavoie, L. Marchildon, D. Rochon, Infinite-dimensional bicomplex Hilbert spaces. Ann. Funct. Anal. 1(2), 75–91 (2010)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2014 The Author(s)
About this chapter
Cite this chapter
Alpay, D., Luna-Elizarrarás, M.E., Shapiro, M., Struppa, D.C. (2014). Linear Functionals and Linear Operators on \({\mathbb {B}}{\mathbb {C}}\)-Modules. In: Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis. SpringerBriefs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-05110-9_5
Download citation
DOI: https://doi.org/10.1007/978-3-319-05110-9_5
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-05109-3
Online ISBN: 978-3-319-05110-9
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)