"ultraweakly" meaning in English

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "ultra",
        "3": "weakly"
      },
      "expansion": "ultra- + weakly",
      "name": "prefix"
    }
  ],
  "etymology_text": "ultra- + weakly",
  "forms": [
    {
      "form": "more ultraweakly",
      "tags": [
        "comparative"
      ]
    },
    {
      "form": "most ultraweakly",
      "tags": [
        "superlative"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "ultraweakly (comparative more ultraweakly, superlative most ultraweakly)",
      "name": "en-adv"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adv",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms prefixed with ultra-",
          "parents": [],
          "source": "w"
        }
      ],
      "examples": [
        {
          "text": "2010 Biswarup Das, \"Hudson-Parthasarathy dilation for a class of symmetric quantum dynamical semigroups\" arxiv\nNote that Dom(L2) becomes a *-subalgebra which is ultraweakly dense in B(H) as well as dense in L²(trᴴ) (i.e. in the norm || · ||²)."
        }
      ],
      "glosses": [
        "In an ultraweak manner"
      ],
      "id": "en-ultraweakly-en-adv-WDepox5Y",
      "links": [
        [
          "ultraweak",
          "ultraweak"
        ]
      ]
    }
  ],
  "word": "ultraweakly"
}

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "ultra",
        "3": "weakly"
      },
      "expansion": "ultra- + weakly",
      "name": "prefix"
    }
  ],
  "etymology_text": "ultra- + weakly",
  "forms": [
    {
      "form": "more ultraweakly",
      "tags": [
        "comparative"
      ]
    },
    {
      "form": "most ultraweakly",
      "tags": [
        "superlative"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "ultraweakly (comparative more ultraweakly, superlative most ultraweakly)",
      "name": "en-adv"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adv",
  "senses": [
    {
      "categories": [
        "English adverbs",
        "English entries with incorrect language header",
        "English lemmas",
        "English terms prefixed with ultra-"
      ],
      "examples": [
        {
          "text": "2010 Biswarup Das, \"Hudson-Parthasarathy dilation for a class of symmetric quantum dynamical semigroups\" arxiv\nNote that Dom(L2) becomes a *-subalgebra which is ultraweakly dense in B(H) as well as dense in L²(trᴴ) (i.e. in the norm || · ||²)."
        }
      ],
      "glosses": [
        "In an ultraweak manner"
      ],
      "links": [
        [
          "ultraweak",
          "ultraweak"
        ]
      ]
    }
  ],
  "word": "ultraweakly"
}