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An Elementary Condition for Non-Norm Elements

Xiaoyong Guo, Xiang-Gen Xia
2009 IEEE Transactions on Information Theory  
In this paper, based on Kiran and Rajan's 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] .  ... 
doi:10.1109/tit.2008.2011444 fatcat:zqfg7iocqzch7db4ru57ssi43e

Elementary Operators on Calkin Algebras

Martin Mathieu
2001 Irish Mathematical Society Bulletin  
In the case of Hilbert space, positivity implies complete positivity, and the 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.  ... 
doi:10.33232/bims.0046.33.42 fatcat:qvbhww3px5b2pi7b3lmqugr7gm

Rank one operators and norm of elementary operators

Ameur Seddik
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.  ... 
doi:10.1016/j.laa.2006.10.003 fatcat:uu32rsflujconfh6xba4yspese

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.  ... 

Elementary operators on Hilbert modules over prime C⁎-algebras

Ljiljana Arambašić, Ilja Gogić
2020 Journal of Mathematical Analysis and Applications  
In this paper we extend Mathieu's theorem 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.  ... 
doi:10.1016/j.jmaa.2020.123861 fatcat:hhzq3s4oqbbexejklxwizjp25a

On the Norm of Decomposable Subgroups in Locally Finite Groups

F. N. Liman, T. D. Lukashova
2015 Ukrainian Mathematical Journal  
We also describe some properties of periodic locally nilpotent groups in which the 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 .  ... 
doi:10.1007/s11253-015-1099-8 fatcat:d3xs6ifa6nbsndsnvjgafx2utu

"Closing-Up" of Sequence Spaces

Robert Schatten
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.  ... 
doi:10.2307/2308113 fatcat:6k4xp72d4vcxdjlwq27t2fafam

On finite 2-groups with non-Dedekind norm of abelian non-cyclic subgroups

F. Lyman, T. Lukashova, M. Drushlyak
2016 Matematychni Studii  
On finite 2-groups with 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  ... 
doi:10.15330/ms.46.1.20-28 fatcat:solo4tryofamxozo3igeyhl2qu

On weak sequential convergence in JB*-triple duals

Leslie J. Bunce, Antonio M. Peralta
2004 Studia Mathematica  
Those E 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  ... 
doi:10.4064/sm160-2-2 fatcat:s226ehl5tje3ldqeslo6wfg3gi

NECESSITY TO ESTABLISH LABOR SAFETY AND HEALTH SYSTEMS WITHIN S.C. ARPECHIM

Emilia POPESCU, Marian POPESCU
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 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.  ... 
doaj:c1d29415bf3048fc81732cba3fd44755 fatcat:p5uihf7mxvecxpbit3aiahuvoy

Norm rigidity for arithmetic and profinite groups [article]

Leonid Polterovich, Yehuda Shalom, Zvi Shem-Tov
2021 arXiv   pre-print
We show that if SL_n(A) has bounded 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.  ... 
arXiv:2105.04125v2 fatcat:4kkulktcivfi3plszyurkequm4

An Embedding Theorem for Reduced Albert Algebras Over Arbitrary Fields

Holger P. Petersson
2015 Communications in Algebra  
Extending two classical embedding theorems of Albert-Jacobson and Jacobson 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.  ... 
doi:10.1080/00927872.2014.882933 fatcat:t3qy3eyxczh2zozimb2de62m4u

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.  ... 

Some issues of fuzzy querying in relational databases

Miroslav Hudec, Miljan Vučetić
2016 Kybernetika (Praha)  
The product t-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.  ... 
doi:10.14736/kyb-2015-6-0994 fatcat:c4zdhw3pcnfudgxwmvciyeaxqa
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