THE SPECTRUM IN BANACH HYPERALGEBRAS

TitleTHE SPECTRUM IN BANACH HYPERALGEBRAS
Publication TypeJournal Article
Year of Publication2016
AuthorsTAGHAVI, ALI, PARVINIANZADEH, ROHOLLAH
Secondary TitleCommunications in Applied Analysis
Volume20
Issue3
Start Page291
Pagination8
Date Published09/2016
Type of Workscientific: mathematics
ISSN1083-2564
AMS46J10, 47B48
Abstract

In this paper, we introduce Banach hyperalgebras and the concept spectrum in hyperalgebras. Moreover, we consider the multiplicative w-linear functionals on Banach hyperalgebra A and give some results in this direction

URLhttp://www.acadsol.eu/en/articles/20/3/1.pdf
DOI10.12732/caa.v20i3.1
Short TitleTHE SPECTRUM IN BANACH HYPERALGEBRAS
Alternate JournalCAA
Refereed DesignationRefereed
Full Text

References

[1] B. Aupetit, A prime on spectral theory, Springer, New York (1991).
[2] P. Corsini, Prolegomena of hypergroup theory, Aviani Editore (1993).
[3] P. Corsini and V. Leoreanu, Applications of Hyperstructure theory, Kluwer Academic Publishers, Advances in Mathematics, Dordrecht (2003).
[4] B. Davaz, Lower and upper approximations in Hv-groups, Ratio. Math., 13 (1999), 71-86.
[5] F. Marty, Sur nue generalizeation de la notion de group, In: 8-th Congress of the Scandinavic Mathematics, Stockholm (1934), 45-49.
[6] A. Taghavi and R. Hosseinzadeh, Hahn-Banach theorem for functionals on hypervector spaces, The Journal of Mathematics and Computer Science, 2, No. 4 (2011), 682-690.
[7] A. Taghavi and R. Parvinianzadeh, Hyperalgebras and quotient hyperalgebras, Italian J. of Pure and Appl. Math., No. 26 (2009), 17-24.
[8] M. Scafati-Tallini, Characterization of remarkable Hypervector space, In: Proc. 8-th Congress on “Algebric Hyperstructures and Aplications”, Samotraki, Greece (2002), Spanidis Press, Xanthi (2003), 231-237.
[9] M. Scafati-Tallini, Weak hypervector space and norms in such spaces, Algebraic Hyperstructures and Applications Hadronic Press (1994), 199-206.
[10] M. Scafati-Tallini, Hypervector spaces, In: Fourth Int. Congress on AHA (1990), 167-174.
[11] T. Vougiouklis, The Fundamental Relation in Hyperrings. The General Hyperfield. Algebraic Hyperstructures and Applications, Xanthi, 1990, World Sci. Publishing, Teaneck, NJ (1991), 203-211.
[12] T. Vougiouklis, Hyperstructures and their Representations, Hadronic Press (1994).
[13] K. Zho, An Introduction to Operator Algebra, CRC Press, New York (1993).