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An Elementary Condition for Non-Norm Elements

2009
*
IEEE Transactions on Information Theory
*

In this paper, based on Kiran and Rajan's

doi:10.1109/tit.2008.2011444
fatcat:zqfg7iocqzch7db4ru57ssi43e
*condition*, we present a more*elementary**condition**for**non*-*norm**elements*when signals are QAM or HEX, which is easier to check. ... With this*elementary**condition*,*non*-*norm**elements*with smaller absolute values than the existing ones can be found. ... In Section III, we present*an**elementary*sufficient*condition*on*non*-*norm**elements*. In Section IV, we compare the codes with new*non*-*norm**elements*with the codes proposed in [6] . ...##
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Elementary Operators on Calkin Algebras

2001
*
Irish Mathematical Society Bulletin
*

In the case of Hilbert space, positivity implies complete positivity, and the

doi:10.33232/bims.0046.33.42
fatcat:qvbhww3px5b2pi7b3lmqugr7gm
*norm*and the cb-*norm*of every*elementary*operator coincide. ... In this setting,*an**elementary*operator with dense range is surjective, and injectivity entails boundedness below. ... Let us remind the reader that a C*-algebra A is said to be antiliminal if,*for*every*non*-zero positive*element*a ∈ A, the hereditary C*-subalgebra aAa generated by a is*non*-abelian. ...##
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Rank one operators and norm of elementary operators

2007
*
Linear Algebra and its Applications
*

*For*two n-tuples A = (A 1 , . . . , A n ) and B = (B 1 , . . . , B n ) of

*elements*in A, we define the

*elementary*operator R A,B on A by the relation R A,

*For*a single operator A ∈ A, we define the two ... particular

*elementary*operators L A and R A on A by L A (X) = AX and R A (X) = XA,

*for*every X in A. ... The

*norm*problem

*for*

*elementary*operators consists in finding a formula which describes the

*norm*of

*an*

*elementary*operator in terms of its coefficients. ...

##
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Page 603 of The American Mathematical Monthly Vol. 57, Issue 9
[page]

1950
*
The American Mathematical Monthly
*

That last it is customary to derive either as (1) the Banach space of all those sequences (1, uz, -- - ) having perhaps

*an*infinite number of*non*-zero terms,*for*which (>| u;| P)1\/? ...*an**element*of & which we term their product and denote by ax. ...##
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Elementary operators on Hilbert modules over prime C⁎-algebras

2020
*
Journal of Mathematical Analysis and Applications
*

In this paper we extend Mathieu's theorem

doi:10.1016/j.jmaa.2020.123861
fatcat:hhzq3s4oqbbexejklxwizjp25a
*for**elementary*operators on prime C^*-algebras by showing that the completely bounded*norm*of each*elementary*operator on a*non*-zero Hilbert A-module X agrees ... We define*an**elementary*operator on X as a map ϕ : X → X*for*which there exists a finite number of*elements*u_i in the C^*-algebra B(X) of adjointable operators on X and v_i in the multiplier algebra M ... Acknowledgements We thank Professor Michael Frank*for*reading the manuscript and*for*his comments. ...##
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On the Norm of Decomposable Subgroups in Locally Finite Groups

2015
*
Ukrainian Mathematical Journal
*

We also describe some properties of periodic locally nilpotent groups in which the

doi:10.1007/s11253-015-1099-8
fatcat:d3xs6ifa6nbsndsnvjgafx2utu
*norm*of decomposable subgroups is a*non*-Dedekind*norm*. ... We study the relationships between the*norm*of decomposable subgroups and the*norm*of Abelian noncyclic subgroups in the class of locally finite groups. ... 〈b〉 be a Frobenius group in which A is*an*infinite*elementary*Abelian 7-group, b = 6, and b −1 ab = a 5*for*any*element*a ∈ A . ...##
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"Closing-Up" of Sequence Spaces

1950
*
The American mathematical monthly
*

That last it is customary to derive either as (1) the Banach space of all those sequences (1, uz, -- - ) having perhaps

doi:10.2307/2308113
fatcat:6k4xp72d4vcxdjlwq27t2fafam
*an*infinite number of*non*-zero terms,*for*which (>| u;| P)1\/? ...*an**element*of & which we term their product and denote by ax. ...##
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On finite 2-groups with non-Dedekind norm of abelian non-cyclic subgroups

2016
*
Matematychni Studii
*

On finite 2-groups with

doi:10.15330/ms.46.1.20-28
fatcat:solo4tryofamxozo3igeyhl2qu
*non*-Dedekind*norm*of abelian*non*-cyclic subgroups, Mat. Stud. 46 (2016), 20-28. ... The authors study finite 2-groups with the cyclic center and*non*-metacyclic*non*-Dedekind*norm*of Abelian*non*-cyclic subgroups. ... If the*norm*N A G of Abelian*non*-cyclic subgroups of a finite 2-group G is*non*-Dedekind and its lower layer ω(N A G ) is*an**elementary*Abelian subgroup of order 4, then N A G contains all involutions of ...##
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On weak sequential convergence in JB*-triple duals

2004
*
Studia Mathematica
*

Those E

doi:10.4064/sm160-2-2
fatcat:s226ehl5tje3ldqeslo6wfg3gi
*for*which E * has the weak * Kadec-Klee property are characterised by a compactness*condition*on E. ...*For*example, if all primitive M -ideals of E are maximal, we show that E * has the Alternative Dunford-Pettis property (respectively, the Kadec-Klee property) if and only if all biholomorphic automorphisms ... The first author wishes to express his gratitude*for*generous financial support from Junta de Andalucía grant FQM 0199, and hospitality from the Departamento de Análisis ...##
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NECESSITY TO ESTABLISH LABOR SAFETY AND HEALTH SYSTEMS WITHIN S.C. ARPECHIM

2013
*
Buletin ştiinţific: Universitatea din Piteşti. Seria Ştiinţe Economice
*

Only a conduct aligned to the labour safety and health requirements, acknowledging and accepting the same by volition may lead to

doaj:c1d29415bf3048fc81732cba3fd44755
fatcat:p5uihf7mxvecxpbit3aiahuvoy
*an*effective implementation of the labour safety and health management ... ARPECHIM, labour safety and health management must be prepared as a management system aiming*for*the ongoing cooperation between all employees in order to improve labour safety and health, to reduce at ... The 19*elementary*actions detailed*for*the fields of action within the LSHM system are subsumed in ten system*elements*, table 5. ...##
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Norm rigidity for arithmetic and profinite groups
[article]

2021
*
arXiv
*
pre-print

We show that if SL_n(A) has bounded

arXiv:2105.04125v2
fatcat:4kkulktcivfi3plszyurkequm4
*elementary*generation then every conjugation-invariant*norm*on it is either discrete or precompact. ... In the last section we provide several open problems*for*further research. ... They both thank the Israeli Science Foundation*for*its support. ...##
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An Embedding Theorem for Reduced Albert Algebras Over Arbitrary Fields

2015
*
Communications in Algebra
*

Extending two classical embedding theorems of Albert-Jacobson and Jacobson

doi:10.1080/00927872.2014.882933
fatcat:t3qy3eyxczh2zozimb2de62m4u
*for*Albert (= exceptional simple Jordan) algebras over fields of characteristic not two to base fields of arbitrary characteristic ... , we show that any*element*of a reduced Albert algebra can be embedded into a reduced absolutely simple subalgebra of degree 3 and dimension 9 which may be chosen to be split if the Albert algebra was ... Thanks are due to Erhard Neher*for*having drawn my attention to the case of*non*-split reduced Albert algebras in the embedding theorem. ...##
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Page 935 of Mathematical Reviews Vol. 17, Issue 9
[page]

1956
*
Mathematical Reviews
*

It is shown that this is equivalent to studying the

*elementary*divisors, associated with 0, of a singular M-matrix, where*an*M-matrix has*non*-negative diagonal*elements*, nonpositive off-diagonal*elements*...*An**elementary*formula*for*the minors of the sum of two square matrices, one of which is*non*-singular, is derived and applied to the metric tensor of Einstein’s unified field theory. M. F. ...##
###
Page 116 of Mathematical Reviews Vol. 22, Issue 2A
[page]

1961
*
Mathematical Reviews
*

(Bulgarian and Russian summaries)

*An**elementary*geometric proof of the theorem that*for**an*nxn matrix A, det C,(A) = (det A)?-»), where C,(A) is the pth compound of A. M. ... This paper discusses the inversion of those*non*-singular symmetric band matrices having*elements*cy;=0*for*|k—i|>1, and applications. P. 8. Dwyer (Ann Arbor, Mich.) 718: Asplund, Edgar. ...##
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Some issues of fuzzy querying in relational databases

2016
*
Kybernetika (Praha)
*

The product t-

doi:10.14736/kyb-2015-6-0994
fatcat:c4zdhw3pcnfudgxwmvciyeaxqa
*norm*prefers the second tuple with the membership degree lower than the values*for*both*elementary**conditions*. ... The next category is queries bearing different importance*for**elementary**conditions*. In this category commutative and*non*-commutative queries can be found. ...
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