How Long to Read Function Theory and ℓp Spaces

By Raymond Cheng

How Long Does it Take to Read Function Theory and ℓp Spaces?

It takes the average reader 3 hours and 46 minutes to read Function Theory and ℓp Spaces by Raymond Cheng

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

Description

The classical ℓp sequence spaces have been a mainstay in Banach spaces. This book reviews some of the foundational results in this area (the basic inequalities, duality, convexity, geometry) as well as connects them to the function theory (boundary growth conditions, zero sets, extremal functions, multipliers, operator theory) of the associated spaces ℓpA of analytic functions whose Taylor coefficients belong to ℓp. Relations between the Banach space ℓp and its associated function space are uncovered using tools from Banach space geometry, including Birkhoff-James orthogonality and the resulting Pythagorean inequalities. The authors survey the literature on all of this material, including a discussion of the multipliers of ℓpA and a discussion of the Wiener algebra ℓ1A. Except for some basic measure theory, functional analysis, and complex analysis, which the reader is expected to know, the material in this book is self-contained and detailed proofs of nearly all the results are given. Each chapter concludes with some end notes that give proper references, historical background, and avenues for further exploration.

How long is Function Theory and ℓp Spaces?

Function Theory and ℓp Spaces by Raymond Cheng is 219 pages long, and a total of 56,721 words.

This makes it 74% the length of the average book. It also has 69% more words than the average book.

How Long Does it Take to Read Function Theory and ℓp Spaces Aloud?

The average oral reading speed is 183 words per minute. This means it takes 5 hours and 9 minutes to read Function Theory and ℓp Spaces aloud.

What Reading Level is Function Theory and ℓp Spaces?

Function Theory and ℓp Spaces is suitable for students ages 12 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 Function Theory and ℓp Spaces?

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