How Long to Read Introduction to the Theory of Bases

How Long Does it Take to Read Introduction to the Theory of Bases?

It takes the average reader 2 hours and 40 minutes to read Introduction to the Theory of Bases by Jürg T. Marti

Assuming a reading speed of 250 words per minute. Learn more

Description

Since the publication of Banach's treatise on the theory of linear operators, the literature on the theory of bases in topological vector spaces has grown enormously. Much of this literature has for its origin a question raised in Banach's book, the question whether every sepa rable Banach space possesses a basis or not. The notion of a basis employed here is a generalization of that of a Hamel basis for a finite dimensional vector space. For a vector space X of infinite dimension, the concept of a basis is closely related to the convergence of the series which uniquely correspond to each point of X. Thus there are different types of bases for X, according to the topology imposed on X and the chosen type of convergence for the series. Although almost four decades have elapsed since Banach's query, the conjectured existence of a basis for every separable Banach space is not yet proved. On the other hand, no counter examples have been found to show the existence of a special Banach space having no basis. However, as a result of the apparent overconfidence of a group of mathematicians, who it is assumed tried to solve the problem, we have many elegant works which show the tight connection between the theory of bases and structure of linear spaces.

How long is Introduction to the Theory of Bases?

Introduction to the Theory of Bases by Jürg T. Marti is 160 pages long, and a total of 40,000 words.

This makes it 54% the length of the average book. It also has 49% more words than the average book.

How Long Does it Take to Read Introduction to the Theory of Bases Aloud?

The average oral reading speed is 183 words per minute. This means it takes 3 hours and 38 minutes to read Introduction to the Theory of Bases aloud.

What Reading Level is Introduction to the Theory of Bases?

Introduction to the Theory of Bases is suitable for students ages 10 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Introduction to the Theory of Bases?

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