American Journal of Mathematical Analysis
http://www.sciepub.com/journal/AJMA
American Journal of Mathematical Analysis is a peer-reviewed, open access journal that publishes original research articles and review articles in all areas of Mathematical Analysis. The goal of this journal is to provide a platform for scientists and academicians all over the world to promote, share, and discuss various new issues and developments in different areas of Mathematical Analysis.Science and Education Publishingen2013 Science and Education Publishing Co. Ltd All rights reserved.American Journal of Mathematical Analysis
10
1
January 2022
2013 Science and Education Publishing Co. Ltd All rights reserved.
A Short Proof of Von Neumann’s Conjecture
http://pubs.sciepub.com/ajma/10/1/1
H be a separable Hilbert space and let B(H) be the set of all bounded operators acting on H. Given T∈ B(H), we show that T has a proper invariant subspace, i.e., there exists a proper Hilbert subspace L⊂H such that T(L)⊆L. This problem has only been solved for special cases so far and in this article we try to offer a solution that can take care of the most general cases.]]>
Bahman Mashood
2022-11-08Science and Education Publishing2022-11-081101210.12691/ajma-10-1-1
d -Lucky Labeling of Some Special Graphs
http://pubs.sciepub.com/ajma/10/1/2
as labeling of graph ’s vertices. The weight for vertex x is specified as where shows the vertex x’s degree, shows the u’s open neighborhood and λ(y) shows the label for vertex y. In [1] M. Miller et al. define d-lucky labeling that is similar to the graph vertex coloring. The labeling λ is said to be d−lucky labeling of graph G if for each adjacent pair of vertices x and y in G. The least positive integer n such that G has a d-lucky labeling with {1, 2, ..., n} as the set of labels is known as d -lucky number of a graph G represented as In this paper we investigated the d-lucky number for jelly fish graph, coconut tree, kite graph, complete binary tree and generalized theta graph.]]>
Zaib Hassan Niazi, Muhammad Awais Tariq Bhatti, Muhammad Aslam, Yasir Qayyum, Muhammad Ibrahim, Ather Qayyum
2022-12-14Science and Education Publishing2022-12-1411031110.12691/ajma-10-1-2