


Paper's Title:
C*valued metric projection and MoorePenrose inverse on Hilbert C*modules
Author(s):
M. Eshaghi Gordji, H. Fathi and S.A.R. Hosseinioun
Department of Mathematics,
Semnan University, P.O. Box 35195363, Semnan,
Iran.
Center of Excellence in Nonlinear Analysis and Applications (CENAA),
Semnan University,
Iran.
Email: Madjid.Eshaghi@gmail.com
Department of Mathematics,
Shahid Beheshti University, Tehran,
Iran.
Email: Hedayat.fathi@yahoo.com
Department of Mathematical Sciences,
University of Arkansas, Fayetteville, Arkansas 72701,
USA.
Email: shossein@uark.net
Abstract:
Let t be a regular operator between Hilbert C^{*}modules and t^{†} be its MoorePenrose inverse. We give some characterizations for t^{†} based on C^{*}valued metric projection. MoorePenrose inverse of bounded operators and elements of a C^{*}algebra is studied as a special case.
Paper's Title:
Generalized kdistancebalanced Graphs
Author(s):
Amir Hosseini and Mehdi Alaeiyan
Department of mathematics, Karaj Branch,
Islamic Azad university, Karaj,
Iran.
Email: amir.hosseini@kiau.ac.ir,
hosseini.sam.52@gmail.com
Department of Mathematics,
Iran University of Science and Technology, Tehran,
Iran.
Email: alaeiyan@iust.ac.ir
Abstract:
A nonempty graph Γ is called generalized kdistancebalanced, whenever every edge ab has the following property: the number of vertices closer to a than to b, k^{, }times of vertices closer to b than to a, or conversely, k∈ N .In this paper we determine some families of graphs that have this property, as well as to prove some other result regarding these graphs.
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