### Abstract

We show that a bounded sequence (an)n of symmetric d × d-matrix valued functions is G-convergent if and only if ((ι∗anι)−1 )n converges in the weak operator topology. Here ι: R(grad0) ↪ L2(Ω)d denotes the (canonical) embedding from the range of the weak gradient grad0 defined on H10(Ω) into L2(Ω)d, where Ω ⊆ ℝd is open and bounded.

Original language | English |
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Pages (from-to) | 883-884 |

Number of pages | 2 |

Journal | Proceedings in Applied Mathematics and Mechanics, PAMM |

Volume | 16 |

Issue number | 1 |

DOIs | |

Publication status | Published - 25 Oct 2016 |

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### Keywords

- bounded sequence
- G-convergence
- weak operator topology