Operators on Lorentz sequence spaces

Subhash Chander Arora; Gopal Datt; Satish Verma

Mathematica Bohemica (2009)

  • Volume: 134, Issue: 1, page 87-98
  • ISSN: 0862-7959

Abstract

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Description of multiplication operators generated by a sequence and composition operators induced by a partition on Lorentz sequence spaces l ( p , q ) , 1 < p ≤ ∞ , 1 ≤ q ≤ ∞ is presented.

How to cite

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Arora, Subhash Chander, Datt, Gopal, and Verma, Satish. "Operators on Lorentz sequence spaces." Mathematica Bohemica 134.1 (2009): 87-98. <http://eudml.org/doc/38076>.

@article{Arora2009,
abstract = {Description of multiplication operators generated by a sequence and composition operators induced by a partition on Lorentz sequence spaces $l(p,q)$, $1<p \le \infty $, $1\le q \le \infty $ is presented.},
author = {Arora, Subhash Chander, Datt, Gopal, Verma, Satish},
journal = {Mathematica Bohemica},
keywords = {composition operator; distribution function; Fredholm operator; Lorentz space; Lorentz sequence space; multiplication operator; non-increasing rearrangement; composition operator; distribution function; Fredholm operator; Lorentz space},
language = {eng},
number = {1},
pages = {87-98},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Operators on Lorentz sequence spaces},
url = {http://eudml.org/doc/38076},
volume = {134},
year = {2009},
}

TY - JOUR
AU - Arora, Subhash Chander
AU - Datt, Gopal
AU - Verma, Satish
TI - Operators on Lorentz sequence spaces
JO - Mathematica Bohemica
PY - 2009
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 134
IS - 1
SP - 87
EP - 98
AB - Description of multiplication operators generated by a sequence and composition operators induced by a partition on Lorentz sequence spaces $l(p,q)$, $1<p \le \infty $, $1\le q \le \infty $ is presented.
LA - eng
KW - composition operator; distribution function; Fredholm operator; Lorentz space; Lorentz sequence space; multiplication operator; non-increasing rearrangement; composition operator; distribution function; Fredholm operator; Lorentz space
UR - http://eudml.org/doc/38076
ER -

References

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  15. Singh, R. K., Manhas, J. S., Composition Operators on Function Spaces, North Holland Math. Stud. 179, Elsevier Science Publications Amsterdem (1993). (1993) Zbl0788.47021MR1246562
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