scholarly journals Extensions of multilinear mappings to powers of linear spaces

2016 ◽  
Vol 8 (2) ◽  
pp. 211-214
Author(s):  
T.V. Vasylyshyn
Keyword(s):  
Linear Spaces ◽  
Cartesian Power ◽  
Multilinear Mapping ◽  
Multilinear Mappings

We consider the question of the possibility to recover a multilinear mapping from the restriction to the diagonal of its extension to a Cartesian power of a space.

MULTILINEAR MAPPING AND STRUCTURE OF MULTIPARTITE STATES

2008 ◽  
Vol 06 (06) ◽  
pp. 1149-1154
Author(s):  
HOSHANG HEYDARI
Keyword(s):  
Tensor Product ◽  
Multilinear Mapping ◽  
Multilinear Mappings ◽  
Multipartite States

We investigate the relation between multilinear mappings and multipartite states. We show that the isomorphism between multilinear mapping and tensor product completely characterizes decomposable multipartite states in a mathematically well-defined manner.

scholarly journals Extension of the Kantorovich inequality for positive multilinear mappings

Filomat ◽  
2017 ◽  
Vol 31 (20) ◽  
pp. 6473-6481 ◽  
Author(s):  
Mohsen Kian ◽  
Mahdi Dehghani
Keyword(s):  
Power Function ◽  
Condition Number ◽  
Matrix Inequalities ◽  
Real Numbers ◽  
Positive Real ◽  
Kantorovich Inequality ◽  
Multilinear Mapping ◽  
Multilinear Mappings ◽  
Positive Matrices

It is known that the power function f (t) = t2 is not matrix monotone. Recently, it has been shown that t2 preserves the order in some matrix inequalities. We prove that if A = (A1,...,Ak) and B = (B1,...,Bk) are k-tuples of positive matrices with 0 < m ? Ai; Bi ? M (i = 1,...,k) for some positive real numbers m < M, then ?2 (A-11,...,A-1k) ? (1+vk)2/4vk)2 ?-2(A1,...,Ak) and ?2 (A1+B1/2,..., Ak+Bk/2)? (1+vk)2/4vk)2 ?2 (A1#B1,...Ak#Bk), where ? is a unital positive multilinear mapping and v = M/m is the condition number of each Ai.

scholarly journals ALGEBRAIC STRUCTURES OF MULTIPARTITE QUANTUM SYSTEMS

2011 ◽  
Vol 09 (01) ◽  
pp. 555-561
Author(s):  
HOSHANG HEYDARI
Keyword(s):  
Tensor Product ◽  
Quantum Systems ◽  
Algebraic Structures ◽  
Multipartite Quantum Systems ◽  
Multilinear Mapping ◽  
Multilinear Mappings ◽  
Multipartite States

We investigate the relation between multilinear mappings and multipartite states. We show that the isomorphism between multilinear mapping and tensor product completely characterizes decomposable multipartite states in a mathematically well-defined manner.

Operator approach for orthogonality in linear spaces

2018 ◽  
Vol 11 (4) ◽  
pp. 103-112
Author(s):  
Mahdi Iranmanesh ◽  
Maryam Saeedi Khojasteh
Keyword(s):  
Operator Approach ◽  
Linear Spaces

Sub-normed Z-linear Spaces on Commutative Semi-group

2012 ◽  
Vol 14 (2) ◽  
pp. 157
Author(s):  
Yanqiu WANG ◽  
Huaxin ZHAO
Keyword(s):  
Semi Group ◽  
Linear Spaces

scholarly journals Spectral properties of some unions of linear spaces

2021 ◽  
pp. 108985
Author(s):  
Chun-Kit Lai ◽  
Bochen Liu ◽  
Hal Prince
Keyword(s):  
Spectral Properties ◽  
Linear Spaces
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