scholarly journals Injective Tauberian Operators on L1 and Operators with Dense Range on ℓ∞

2015 ◽  
Vol 58 (2) ◽  
pp. 276-280 ◽  
Author(s):  
William Johnson ◽  
Amir Bahman Nasseri ◽  
Gideon Schechtman ◽  
Tomasz Tkocz
Keyword(s):  
Dense Range

Abstract.There exist injective Tauberian operators on L1(0, 1) that have dense, nonclosed range. This gives injective nonsurjective operators on ℓ∞ that have dense range. Consequently, there are two quasi-complementary noncomplementary subspaces of ℓ∞ that are isometric to ℓ∞.

Dense range image smoothing using adaptive regularization

2000 ◽  
Author(s):  
Yiyong Sun ◽  
Joon-Ki Paik ◽  
J.R. Price ◽  
M.A. Abidi
Keyword(s):  
Range Image ◽  
Image Smoothing ◽  
Adaptive Regularization ◽  
Dense Range

scholarly journals On hypercyclicity and supercyclicity criteria

2004 ◽  
Vol 70 (1) ◽  
pp. 45-54 ◽  
Author(s):  
Teresa Bermúdez ◽  
Antonio Bonilla ◽  
Alfredo Peris
Keyword(s):  
Wide Class ◽  
Hypercyclic Operators ◽  
Dense Range ◽  
Hypercyclicity Criterion ◽  
Supercyclicity Criterion

We show that the Hypercyclicity Criterion coincides with other existing hypercyclicity criteria and prove that a wide class of hypercyclic operators satisfy the Criterion. The results obtained extend or improve earlier work of several authors. We also unify the different versions of the Supercyclicity Criterion and show that operators with dense generalised kernel and dense range are supercyclic.

Adaptive regularized noise smoothing of dense range image using directional Laplacian operators

2001 ◽  
Author(s):  
Jeong-Ho Shin ◽  
Yiyong Sun ◽  
Woongchan Jung ◽  
Joon-Ki Paik ◽  
Mongi A. Abidi
Keyword(s):  
Range Image ◽  
Dense Range ◽  
Laplacian Operators ◽  
Noise Smoothing

scholarly journals Lefschetz-Pontrjagin duality for differential characters

2001 ◽  
Vol 73 (2) ◽  
pp. 145-159 ◽  
Author(s):  
REESE HARVEY ◽  
BLAINE LAWSON
Keyword(s):  
Duality Theorem ◽  
Manifolds With Boundary ◽  
Dense Range ◽  
Differential Characters ◽  
Alpha Beta ◽  
Duality Mappings ◽  
Central Result

A theory of differential characters is developed for manifolds with boundary. This is done from both the Cheeger-Simons and the deRham-Federer viewpoints. The central result of the paper is the formulation and proof of a Lefschetz-Pontrjagin Duality Theorem, which asserts that the pairing <img src="http:/img/fbpe/aabc/v73n2/fo1.gif" alt="fo1.gif (867 bytes)"> given by (alpha, beta) <img SRC="http:/img/fbpe/aabc/v73n2/m1img7.gif"> (alpha * beta) [X] induces isomorphisms <img src="http:/img/fbpe/aabc/v73n2/fo2.gif" alt="fo2.gif (1110 bytes)"> <img src="http:/img/fbpe/aabc/v73n2/fo3.gif" alt="fo3.gif (1086 bytes)"> onto the smooth Pontrjagin duals. In particular, <img SRC="http:/img/fbpe/aabc/v73n2/m1img13.gif"> and <img SRC="http:/img/fbpe/aabc/v73n2/m1img13a.gif"> are injective with dense range in the group of all continuous homomorphisms into the circle. A coboundary map is introduced which yields a long sequence for the character groups associated to the pair (X, <img SRC="http:/img/fbpe/aabc/v73n2/m1img14.gif">X). The relation of the sequence to the duality mappings is analyzed.

scholarly journals -Approximately Contractible Banach Algebras

2012 ◽  
Vol 2012 ◽  
pp. 1-20 ◽  
Author(s):  
M. Momeni ◽  
T. Yazdanpanah ◽  
M. R. Mardanbeigi
Keyword(s):  
Banach Algebra ◽  
Banach Algebras ◽  
Dense Range ◽  
Approximate Amenability

We investigate -approximate contractibility and -approximate amenability of Banach algebras, which are extensions of usual notions of contractibility and amenability, respectively, where is a dense range or an idempotent bounded endomorphism of the corresponding Banach algebra.

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