For every x, y in an inner product space, |xT y| ||x|| ||y||

Question:

For every x, y in an inner product space,
|xT y| ≤ ||x|| ||y||

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Foundations of Mathematical Economics

ISBN: 978-0262531924

1st edition

Authors: Michael Carter

See More Books

Question Posted: May 02, 2016 11:48 AM

See More Questions

Every element y in an inner product space X defines a continuous linear functional on X by fy(x) = xT y.
Show that C(X) (exercise 2.85) is not an inner product space. Two vectors x and y in an inner product space X are orthogonal if xT y = 0. We symbolize this by x ¥ y The orthogonal complement...
For any two nonzero elements x and y in an inner product space X, define the angle y between x and y by for 0 ¤ Î¸ ¤ n. Show that 1. - 1 ¤ cos Î¸ ¤...
Listed below is the income statement for Tom and Sue Travels, Incorporated. TOM AND SUE TRAVELS, INCORPORATED Income Statement for Year End ( in millions of dollars ) Net sales $ 1 9 . 6 0 0 Less:...
Compute a one-way ANOVA of the following data. Let = .01. Use the Tukey-Kramer procedure to conduct multiple comparisons for themeans. Treatment 12 17 16 13 10 15 14 18 10 10 10
On June 1, 2011, bids were submitted for a construction project to build a new municipal building and fire station. The lowest bid was $5,130,000, submitted by the Shannon Construction Company....
The composite bar system in Figure 1.48 consists of a steel bar and a bronze bar that are both securely attached to a rigid block and rigid supports. The system is loaded with a total load P at the...
A 400.0-m-wide river flows from west to east at 30.0 m/min. Your boat moves at 100.0 m/min relative to the water no matter which direction you point it. To cross this river, you start from a dock at...
A bacteria culture starts with 340 bacteria and grows at a rate proportional to its size. After 2 hours there will be 680 bacteria. (a) Express the population P after t hours as a function of t. Be...
Consider the piston ring data shown in Table 6.3. Assume that the specifications on this component are 74.000 ï±ï 0.05 mm. (a) Set up x and R control charts on this process. Is the...
Show that the Shapley value defined by (1) is linear.
The inner product is a continuous bilinear functional.
Air flows into a pipe from the region between a circular disk and a cone as shown in Fig. P4.52. The fluid velocity in the gap between the disk and the cone is closely approximated by \(V=V_{0} R^{2}...
The Power of Vision: Dreaming of Peace View Pray the Devil Back to Hell (Information about documentary available at http://www.praythedevilbacktohell.com/). This is the story of how Liberian women...
Table 9.7 illustrates the hypothetical demand and supply schedules of labor in the United States. Assume that labor and capital are the only two factors of production. On graph paper, plot these...
The Beauty of Data Visualization18:17 minutes https://www.bing.com/videos/search? q=the+beauty+of+data+visualization&docid=608019685193287796&mid=FA748A7...
Would the Lorenz curve for the world be more or less bowed out compared to the Lorenz curve for the United States?
Should poverty be defined absolutely or relatively? Why?
Phillips Company is a manufacturer of computers. Its controller resigned in October 2014. An inexperienced assistant accountant has prepared the following income statement for the month of October...
A fuel pump sends gasoline from a car's fuel tank to the engine at a rate of 5.88 10-2 kg/s. The density of the gasoline is 735 kg/m3, and the radius of the fuel line is 3.18 10-3 m. What is the...
Consider the wire bond pull strength data in Exercise 12-8. (a) Test for significance of regression using a = 0.05. Find the P-value for this test. What conclusions can you draw? (b) Calculate the...
Reconsider the semiconductor data in Exercise 12-9. (a) Test for significance of regression using a = 0.05. What conclusions can you draw? (b) Calculate the t-test statistic for each regression...
Exercise 12-10 presents data on heat treating gears. (a) Test the regression model for significance of regression. Using a = 0.05, find the P-value for the test and draw conclusions. (b) Evaluate the...
1 . What were the problems faced by Income in this case? How were the problems resolved by the new digital system? 2 . What types of information systems and business processes were used by Income...
A distant cousin of yours had inherited some money so he was able to realise his life long ambition to set up in business and sell that well known financial publication, the National Review. He put R...
Is Mr . Nikhil, a non - resident, liable to pay taxes in India for the financial year 2 0 2 2 - 2 3 based onthe following transactions: ( a ) He received Rs 2 0 lakhs for the use of a patent for a...

For every x, y in an inner product space, |xT y| ||x|| ||y||

Question:

Step by Step Answer:

x y x y satisfies t...View the full answer

Foundations of Mathematical Economics

Students also viewed these Numerical Analysis questions