linear maps
Characterization of linear maps on $M_n$ whose multiplicity maps have maximal norm, with an application in quantum information
... with linear maps on matrices and will use the trace-norm, but we note that this fact is known much more generally (in terms of the C ∗ -norm) for maps on unital C ∗ -algebras (see [3, Exercise ...
20
Indistinguishability Obfuscation from SXDH on 5-Linear Maps and Locality-5 PRGs
... multilinear maps used in IO constructions hits a barrier at degree ...multilinear maps needed to ...L-linear maps and PRGs with a new notion of block-wise locality ...
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On Some Isomorphisms between Bounded Linear Maps and Non-Commutative Lp-Spaces
... Abstract. We define a particular space of bounded linear maps using a Von Neumann algebra and some operator spaces. By this, we prove some isomor- phisms, and using interpolation in some particular cases, ...
13
Some generalizations of operator inequalities for positive linear maps
... 4. Bhatia, R, Davis, C: More operator versions of the Schwarz inequality. Commun. Math. Phys. 215, 239-244 (2000) 5. Lin, M: On an operator Kantorovich inequality for positive linear maps. J. Math. Anal. ...
6
Cebyšev’s type inequalities for positive linear maps of selfadjoint operators in Hilbert spaces
... positive linear maps of continuous synchronous (asynchronous) functions of selfadjoint linear operators in Hilbert spaces, under suitable as- sumptions for the involved ...
15
A weakened version of Davis-Choi-Jensen’s inequality for normalised positive linear maps
... In this paper we show that the celebrated Davis-Choi-Jensen’s in- equality for normalised positive linear maps can be extended in a weak- ened form for convex functions. A reverse inequality and ...
14
Certain integral inequalities involving tensor products, positive linear maps, and operator means
... positive linear maps and tensor products of a continuous field of ...positive linear map in suitable forms, we obtain many interesting inequalities including reverse Hölder- McCarthy integral ...
13
8. More operator inequalities for positive linear maps
... Abstract. In this paper we present some new operator inequality for convex functions. We have obtained a number of Jensen’s type inequalities for convex and operator convex functions of self-adjoint operators for ...
9
Spectrum Preserving Linear Maps Between Banach Algebras
... In this paper we show that if A is a unital Banach algebra, B is a purely infinite C ∗ -algebra such that has a non-zero commutative max- imal ideal and φ : A → B is a unital surjective spectrum preserving linear ...
5
Monotone Boolean functions as combinatorially piecewise linear maps
... This paper describes how a monotone boolean function in n variables whose prime implicants and prime clauses are non-rivial defines a partition of the symmetric group on n symbols into a[r] ...
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(Linear) Maps of the Impossible: Capturing Semantic Anomalies in Distributional Space
... the linear map (lm) approach proposed by Guevara (2010), a composite AN vector is obtained by multiplying a weight matrix by the concatenation of the adjective and noun vectors, so that each di- mension of the ...
9
Linear Maps with Point Rules: Applications to Pattern Classification and Associative Memory
... generalised linear discriminant functions. Clearly, if an error is made in the decision process, then the classification is irretrievably in error. The associative me[r] ...
369
Linear maps preserving rank 2 on the space of alternate matrices and their applications
... the linear space of all n × n alternate matrices over a field ...all linear bijective maps on n (F) (n ≥ 4) preserving rank 2 when F is any field, and thereby the characterization of all ...
9
On Linear Maps Preserving g Majorization from to
... Majorization is a topic of much interest in various areas of mathematics and statistics. If x and y are n-vectors of real numbers such that x Dy for some doubly stochastic matrix D, then we say that x is vector majorized ...
5
Characterizing Departures from Linearity in Word Translation
... by linear maps at least in small enough ...is linear, all local approximations should be identical, or, given the finite size of the train- ing data, ...locally linear approxima- tions will ...
7
New applications of the existence of solutions for equilibrium equations with Neumann type boundary condition
... continuous linear maps associated with additive set-valued maps with values in the set of all closed bounded convex non-empty subsets of any Banach space, which are generalizations of integral ...
8
Tensor Product of Hypervector Spaces
... middle linear maps on V × W ...middle linear map f : V × W −→ P ∗ (Z) to the multivalued middle linear map g : V × W −→ P ∗ (Z 0 ) is a map h : P ∗ (Z) −→ P ∗ (Z 0 ) such that the ...
15
A STUDY OF A CLOSED GRAPH THEOREM AND THEIR APPLICATIONS IN BANACH SPACES FOR CLOSED LINEAR TRANSFORMATIONS.
... bounded linear operators and have proved some theorems concerning such ...is linear and bounded, then one has those theorems at ones ...important maps which are defined in applications, under certain ...
21
Topological conjugacies of piecewise monotone interval maps
... Abstract. Our aim is to establish the topological conjugacy between piecewise monotone expansive interval maps and piecewise linear maps. First, we are concerned with maps satisfying a Markov ...
9
An Introduction to Lie Algebra
... all linear maps V 7→ V with associative multiplication (x, y) 7→ xy for all x, y, where xy denotes functional composition, observe, End (V ) is an associative algebra over F ...
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