Zobrazeno 1 - 10
of 48
pro vyhledávání: '"George Phillip Barker"'
Publikováno v:
Linear and Multilinear Algebra. 63:2518-2525
Let be a commutative ring with identity and let be quasi-order relation on . Then will denote the structural matrix algebra over . In this study, we show that, Theorem 4.1 of Benkovic [Jordan homomorphisms on triangular matrices. Linear and Multiline
Publikováno v:
Volume: 37, Issue: 6 993-1000
Turkish Journal of Mathematics
Turkish Journal of Mathematics
In this paper, we explore when the lattice of invariant subspaces of a structural matrix algebra can be complemented. We give several equivalent conditions for this lattice to be a Boolean algebra.
Publikováno v:
Integral Equations and Operator Theory. 51:357-373
Let K1, K2 be closed, full, pointed convex cones in finite-dimensional real vector spaces of the same dimension, and let F : K1 → span K2 be a homogeneous, continuous, K2-convex map that satisfies F(∂K1) ∩ int K2=∅ and FK1 ∩ int K2 ≠ ∅.
Publikováno v:
Quaestiones Mathematicae; Vol 37, No 2 (2014)
In this paper, we investigate the relation between a structural matrix algebra and the lattice properties of its lattice of invariant subspaces, and reprove known results in a fresh and an explanatory way. Moreover, we also prove the theorem which is
Autor:
George Phillip Barker
Publikováno v:
Southeast Asian Bulletin of Mathematics. 24:9-14
Let U be the universal (or Bohr) compactification of a real finite-dimensional cone. M. Friedberg established an isomorphism between the idempotents of U and the faces of the cone dual to K. This isomorphism is utilized to investigate the generators
Autor:
Hans Schneider, George Phillip Barker
Linear algebra is one of the central disciplines in mathematics. A student of pure mathematics must know linear algebra if he is to continue with modern algebra or functional analysis. Much of the mathematics now taught to engineers and physicists re
Autor:
Bit-Shun Tam, George Phillip Barker
Publikováno v:
Linear Algebra and its Applications. 256:165-183
The study of π ( K ), the semiring of matrices which leave invariant the proper cone K , is continued in this paper. The definitions of Baer rings and Baer ∗-rings are extended to semirings, at least in the case of π ( K ). Results that relate th
Autor:
Hans G. Schneider, George Phillip Barker, Graham R D Jones, Mark Shephard, Ian Goodall, Stephen M. Twigg
Publikováno v:
The Medical journal of Australia. 195(1)
An international consensus statement recommends that dual reporting of haemoglobin A (HbA(1c)) levels--in the current units (percentage) and Systeme International (SI) units (mmol/mol)--be used as an interim measure for a 2-year transition period bef
Autor:
Bit-Shun Tam, George Phillip Barker
Publikováno v:
Linear and Multilinear Algebra. 31:19-25
Let K be a full, pointed closed cone in a finite dimensional real vector space. For any linear map A for which AK⊆K, denote by (E,P(A)[E,I (A))] the directed graph whose vertex set consists of all the extreme rays of K such that there is an edge fr
Autor:
Shang Jun Yang, George Phillip Barker
Publikováno v:
Czechoslovak Mathematical Journal. 42:211-224