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A consequence of the Banach-Steinhaus Theorem is that any sequence of bounded linear operators, that converges pointwise, converges to a bounded linear operator.

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Banach-Steinhaus Theoremの結果、点状に収束する有界線形演算子の任意のシーケンスは、有界線形演算子に収束します。

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As a result of Banach-Steinhaus Theorem, arbitrary sequences of pointwise convergent bounded linear operators converge to bounded linear operators.

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Banach-Steinhaus Theoremの結果として、点状の有界線形演算子の任意のシーケンスは有界線形演算子に収束します。

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As a result of Banach-Steinhaus Theorem, any sequence of punctate bounded linear operators converge to bounded linear operators.

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Banach-Steinhaus Theoremの結果として、点線で囲まれた線形演算子の任意のシーケンスは、有界線形演算子に収束します。

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As a result of Banach-Steinhaus Theorem, any sequence of linear operators surrounded by dotted lines converge to bounded linear operators.

INTO JAPANESE

Banach-Steinhaus Theoremの結果、点線で囲まれた線形演算子の任意のシーケンスが有界線形演算子に収束します。

BACK INTO ENGLISH

As a result of Banach-Steinhaus Theorem, arbitrary sequences of linear operators enclosed by dotted lines converge to bounded linear operators.

INTO JAPANESE

Banach-Steinhaus Theoremの結果、点線で囲まれた線形演算子の任意のシーケンスが有界線形演算子に収束します。

BACK INTO ENGLISH

As a result of Banach-Steinhaus Theorem, arbitrary sequences of linear operators enclosed by dotted lines converge to bounded linear operators.