"spectral set" meaning in English

{
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    {
      "form": "spectral sets",
      "tags": [
        "plural"
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      "expansion": "spectral set (plural spectral sets)",
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  "lang_code": "en",
  "pos": "noun",
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      "glosses": [
        "In operator theory, a set X⊆ℂ such that, for a (possibly unbounded) linear operator T on a Banach space, the spectrum of T is in X and von Neumann's inequality holds for T on X."
      ],
      "id": "en-spectral_set-en-noun-9p1y~YGQ",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "operator theory",
          "operator theory"
        ],
        [
          "Banach space",
          "Banach space"
        ],
        [
          "spectrum",
          "spectrum"
        ],
        [
          "von Neumann's inequality",
          "von Neumann's inequality"
        ]
      ],
      "raw_glosses": [
        "(mathematics) In operator theory, a set X⊆ℂ such that, for a (possibly unbounded) linear operator T on a Banach space, the spectrum of T is in X and von Neumann's inequality holds for T on X."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "spectral set"
}

{
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    {
      "form": "spectral sets",
      "tags": [
        "plural"
      ]
    }
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      "glosses": [
        "In operator theory, a set X⊆ℂ such that, for a (possibly unbounded) linear operator T on a Banach space, the spectrum of T is in X and von Neumann's inequality holds for T on X."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "operator theory",
          "operator theory"
        ],
        [
          "Banach space",
          "Banach space"
        ],
        [
          "spectrum",
          "spectrum"
        ],
        [
          "von Neumann's inequality",
          "von Neumann's inequality"
        ]
      ],
      "raw_glosses": [
        "(mathematics) In operator theory, a set X⊆ℂ such that, for a (possibly unbounded) linear operator T on a Banach space, the spectrum of T is in X and von Neumann's inequality holds for T on X."
      ],
      "topics": [
        "mathematics",
        "sciences"
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  ],
  "word": "spectral set"
}