The space of compact operators contains c 0 when a noncompact operator is suitably factorized

Giovanni Emmanuele; Kamil John

Czechoslovak Mathematical Journal (2000)

  • Volume: 50, Issue: 1, page 75-82
  • ISSN: 0011-4642

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Emmanuele, Giovanni, and John, Kamil. "The space of compact operators contains $c_0$ when a noncompact operator is suitably factorized." Czechoslovak Mathematical Journal 50.1 (2000): 75-82. <http://eudml.org/doc/30543>.

@article{Emmanuele2000,
author = {Emmanuele, Giovanni, John, Kamil},
journal = {Czechoslovak Mathematical Journal},
keywords = {spaces of linear operators; copies of $c_0$; approximation properties; spaces of linear operators; copies of ; approximation properties},
language = {eng},
number = {1},
pages = {75-82},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {The space of compact operators contains $c_0$ when a noncompact operator is suitably factorized},
url = {http://eudml.org/doc/30543},
volume = {50},
year = {2000},
}

TY - JOUR
AU - Emmanuele, Giovanni
AU - John, Kamil
TI - The space of compact operators contains $c_0$ when a noncompact operator is suitably factorized
JO - Czechoslovak Mathematical Journal
PY - 2000
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 50
IS - 1
SP - 75
EP - 82
LA - eng
KW - spaces of linear operators; copies of $c_0$; approximation properties; spaces of linear operators; copies of ; approximation properties
UR - http://eudml.org/doc/30543
ER -

References

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  3. 10.1017/S0305004100075435, Math. Proc. Cambridge Philos. Soc. 111 (1992), 331–335. (1992) MR1142753DOI10.1017/S0305004100075435
  4. Uncomplementability of spaces of compact operators in larger spaces of operators, Czechoslovak Math. J (to appear). (to appear) MR1435603
  5. 10.1215/ijm/1256047715, Illinois J. Math. 24 (1980), 196–205. (1980) Zbl0411.46009MR0575060DOI10.1215/ijm/1256047715
  6. On the uncomplemented subspace K ( X , Y ) , Czechoslovak Math. J. 42 (1992), 167–173. (1992) Zbl0776.46016MR1152178
  7. 10.1007/BF01432152, Math. Ann. 208 (1974), 267–278. (1974) Zbl0266.47038MR0341154DOI10.1007/BF01432152
  8. Classical Banach Spaces, Sequence Spaces, EMG 92 Springer Verlag, 1977. (1977) MR0500056
  9. Classical Banach Spaces, Function Spaces, EMG 97 Springer Verlag, 1979. (1979) MR0540367
  10. A connection between weak unconditional convergence and weak sequential completeness in Banach spaces, Bull. Acad. Polon. Sci. 6 (1958), 251–253. (1958) MR0115072

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