scholarly journals Converse Results for the Downlink Multicell Processing With Finite Backhaul Capacity

2019 ◽  
Vol 65 (1) ◽  
pp. 368-379
Author(s):  
Tianyu Yang ◽  
Nan Liu ◽  
Wei Kang ◽  
Shlomo Shamai Shitz
Keyword(s):  
Converse Results

scholarly journals On Converse Results for Secure Index Coding

2021 ◽  
Author(s):  
Yucheng Liu ◽  
Lawrence Ong ◽  
Parastoo Sadeghi ◽  
Neda Aboutorab ◽  
Arman Sharififar
Keyword(s):  
Index Coding ◽  
Converse Results

Left-right fredholm and left-right browder linear relations

Filomat ◽  
2017 ◽  
Vol 31 (2) ◽  
pp. 255-271 ◽  
Author(s):  
T. Álvarez ◽  
Fatma Fakhfakh ◽  
Maher Mnif
Keyword(s):  
Banach Space ◽  
Finite Rank ◽  
Linear Relation ◽  
Finite Rank Operator ◽  
Linear Relations ◽  
Rank Operator ◽  
Type Decomposition ◽  
Converse Results

In this paper we introduce the notions of left (resp. right) Fredholm and left (resp. right) Browder linear relations. We construct a Kato-type decomposition of such linear relations. The results are then applied to give another decomposition of a left (resp. right) Browder linear relation T in a Banach space as an operator-like sum T = A + B, where A is an injective left (resp. a surjective right) Fredholm linear relation and B is a bounded finite rank operator with certain properties of commutativity. The converse results remain valid with certain conditions of commutativity. As a consequence, we infer the characterization of left (resp. right) Browder spectrum under finite rank operator.

Direct and converse results for q-Bernstein operators

2009 ◽  
Vol 52 (2) ◽  
pp. 339-349 ◽  
Author(s):  
Zoltán Finta
Keyword(s):  
Bernstein Polynomials ◽  
Modulus Of Smoothness ◽  
Second Order ◽  
Bernstein Operators ◽  
Approximation Theorems ◽  
Converse Theorems ◽  
Direct And Converse Results ◽  
Direct Approximation ◽  
Converse Results

AbstractDirect and converse theorems are established for the q-Bernstein polynomials introduced by G. M. Phillips. The direct approximation theorems are given for the second-order Ditzian–Totik modulus of smoothness. The converse results are theorems of Berens–Lorentz type.

CONVERSE RESULTS

2006 ◽  
pp. 115-128
Author(s):  
AMNON JAKIMOVSKI ◽  
AMBIKESHWAR SHARMA ◽  
JÓZSEF SZABADOS
Keyword(s):  
Converse Results
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