# Functional Analysis Important MCQs Quiz With Answers

October 10, 2022One Comment
Functional Analysis MCQs quiz of past paper exams with answers for upcoming university exams. All these questions are answered by university professors and Ph.D. students. Solve these MCQs type quizzes and get the highest grade in university exams. In this quiz, we will discuss bounded or unbounded spaces and dual spaces, which are more important for exams. Also, we are talking about Banach spaces, infinite dimensions spaces, Inner and Outer spaces, Normed spaces, Complete spaces, etc. Another functional analysis MCQ with answers is Quiz.2, Quiz.3, Quiz.4, Quiz.5.

## Functional Analysis MCQs Quiz.1

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Functional Analysis MCQs Quiz.1 with Answers

In the Functional Analysis MCQs Quiz, we are sharing Questions with you on Normad Space, Infinity Space, and Other Functional Analysis MCQs questions help us to increase our knowledge.

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1. Which of the following is a normed space over itself.

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2. Let N is a normed space in which every closed and bounded subset is compact then N is:

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3. Every norm is:

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4. A complete normed space is called:

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5. If N is a normed space over a field F, thus for some fixed a ∈ F, the function fa: N → N is continuous, then fa (x) =

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6. Every normed space is a metric space with a metric d : N × N → R defined by
d (x, y) =

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7. Which of the following is convex.

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8. If N is a normed space and f: N × N → N is uniformly continuous then f (x, y) =

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9. Which of the following is a normed space.

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10. If N is a normal space then which of the following is correct for all x, y, z ∈ N

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11. Let N is a normal space, then the range set of norm on N is:

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12. Any two norms on a normed space defined same topology if the norms are:

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13. Which of the following is not a Banach space?

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14. Which of the following is Banach space?

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15. If F is a real or complex field, then vector space V over F is called: