A note on embedding into product spaces

M. A. Sofi

Czechoslovak Mathematical Journal (2006)

  • Volume: 56, Issue: 2, page 507-513
  • ISSN: 0011-4642

Abstract

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Using factorization properties of an operator ideal over a Banach space, it is shown how to embed a locally convex space from the corresponding Grothendieck space ideal into a suitable power of E , thus achieving a unified treatment of several embedding theorems involving certain classes of locally convex spaces.

How to cite

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Sofi, M. A.. "A note on embedding into product spaces." Czechoslovak Mathematical Journal 56.2 (2006): 507-513. <http://eudml.org/doc/31043>.

@article{Sofi2006,
abstract = {Using factorization properties of an operator ideal over a Banach space, it is shown how to embed a locally convex space from the corresponding Grothendieck space ideal into a suitable power of $E$, thus achieving a unified treatment of several embedding theorems involving certain classes of locally convex spaces.},
author = {Sofi, M. A.},
journal = {Czechoslovak Mathematical Journal},
keywords = {factorization; embedding; opertator ideal; factorization; embedding; operator ideal},
language = {eng},
number = {2},
pages = {507-513},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A note on embedding into product spaces},
url = {http://eudml.org/doc/31043},
volume = {56},
year = {2006},
}

TY - JOUR
AU - Sofi, M. A.
TI - A note on embedding into product spaces
JO - Czechoslovak Mathematical Journal
PY - 2006
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 56
IS - 2
SP - 507
EP - 513
AB - Using factorization properties of an operator ideal over a Banach space, it is shown how to embed a locally convex space from the corresponding Grothendieck space ideal into a suitable power of $E$, thus achieving a unified treatment of several embedding theorems involving certain classes of locally convex spaces.
LA - eng
KW - factorization; embedding; opertator ideal; factorization; embedding; operator ideal
UR - http://eudml.org/doc/31043
ER -

References

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  10. 10.1090/S0002-9939-1972-0318823-9, Proc. Amer. Math. Soc. 34 (1972), 138–140. (1972) Zbl0257.46006MR0318823DOI10.1090/S0002-9939-1972-0318823-9
  11. Topological Vector Spaces, Springer Verlag, , 1980. (1980) Zbl0435.46003MR0342978
  12. 10.1007/BF01191362, Arch. der Math. 47 (1986), 353–358. (1986) Zbl0577.46004MR0866524DOI10.1007/BF01191362
  13. Factoring λ ( P ) -nuclear operators over nuclear Frechet spaces, Jour. Math. Sciences, Part  I, 28 (1994), 267–281. (1994) 
  14. 10.1007/BF01222542, Arch. der Math. 22 (1971), 76-78. (1971) Zbl0215.20902MR0291865DOI10.1007/BF01222542
  15. Nuclearity and Banach spaces, Proc. Edinburgh Math. Soc. Ser.  2 20 (1977), 205–209. (1977) Zbl0354.46002MR0435778

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