# x** is weak* continuous iff x** Є j(ε).

Not what you're looking for?

Topology

Suppose that Ε is a normed linear space. Let j: Ε→ Ε** be the canonical imbedding and let x** be a linear functional on Ε*.

Then x** is weak* continuous if and only if x** Є j(Ε).

See the attached file.

##### Purchase this Solution

##### Solution Summary

This solution is comprised of a detailed explanation of the canonical imbedding of the normed linear space. It contains step-by-step explanation for the following problem.

##### Solution Preview

Topology

Suppose that Ε is a normed linear space. Let j: Ε→ Ε** be the canonical imbedding and let x** be a linear functional on Ε*.

Then x** is weak* continuous if and only if x** Є j(Ε).

See the attached file for the solution of the problem.

Posting 38049 reply

The intersection of any non-empty family of topologies on is a topology on .

And this topology is weaker than all the above family of topologies and stronger than any topology

which is weaker than all these topologies.

This is the greatest lower bound of this family.

Let be a non-empty class of topological spaces and for each let be a mapping of ...

###### Education

- BSc, Manipur University
- MSc, Kanpur University

###### Recent Feedback

- "Thanks this really helped."
- "Sorry for the delay, I was unable to be online during the holiday. The post is very helpful."
- "Very nice thank you"
- "Thank you a million!!! Would happen to understand any of the other tensor problems i have posted???"
- "You are awesome. Thank you"

##### Purchase this Solution

##### Free BrainMass Quizzes

##### Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

##### Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

##### Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

##### Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

##### Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts