Show that ((g, h) mapstolangle g, hangle) and ((t, h) mapsto t h) are continuous on (mathcal{H}
Question:
Show that \((g, h) \mapsto\langle g, hangle\) and \((t, h) \mapsto t h\) are continuous on \(\mathcal{H} \times \mathcal{H}\), resp. \(\mathbb{R} \times \mathcal{H}\).
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 50% (2 reviews)
hh 1 For the scalar product we have for all g g h h H ...View the full answer
Answered By
Sandhya Sharma
I hold M.Sc and M.Phil degrees in mathematics from CCS University, India and also have a MS degree in information management from Asian institute of technology, Bangkok, Thailand. I have worked at a international school in Bangkok as a IT teacher. Presently, I am working from home as a online Math/Statistics tutor. I have more than 10 years of online tutoring experience. My students have always excelled in their studies.
4.90+
119+ Reviews
214+ Question Solved
Related Book For
Question Posted:
Students also viewed these Business questions
-
Carol Harris, Ph.D, CPA, is a single taxpayer and she lives at 674 Yankee Street, Durham, NC 27409. Her Social Security number is 793-52-4335. Carol is an Associate Professor of Accounting at a local...
-
if we choose statistic as our keyword, our cipher would be determined as follows: method i. write the word statistic without the repeated letters. then complete the cipher with the unused alphabet...
-
Suppose you are considering joining one of three accounting firms as your first full-time job in this career. One firm is located only within one large city but has a large portion of the...
-
Consider the pooled t variable Tp from part (b) of the previous exercise. a. Use this t variable to obtain a pooled t confidence interval formula for 1 2 . b. The article Effect of Welding on a...
-
Repeat Problem 13 for KCI whose density is 1.99g/cm3.
-
Express each quantity in a more appropriate unit. There may be more than one acceptable answer. a. 3.44 10-6 s b. 3,500 L c. 0.045 m
-
Write a first-order model relating E1y2 to a. two quantitative independent variables. b. four quantitative independent variables. c. five quantitative independent variables.
-
The following changes in account balances and other information for 2007 were taken from the accounting records of the Noble Company: Other information: Net income was $9,900. Dividends were declared...
-
On 29 March 2018, Hot Co received an order from a new customer Cold Co for goods with the sales value of 900,000. Cold Co made an advance payment of 90,000 to Hot Co for these goods. Hot Co will...
-
Show that a Hilbert space \(\mathcal{H}\) is separable if, and only if, \(\mathcal{H}\) contains a countable maximal orthonormal system.
-
Show that \(\|(g, h)\|:=\left(\|g\|^{p}+\|h\|^{p}ight)^{1 / p}\) is for every \(p \geqslant 1\) a norm on \(\mathcal{H} \times \mathcal{H}\). For which values of \(p\) does \(\mathcal{H} \times...
-
Suppose that we would like a part produced from the acetal polymer shown in Figure 7-27 to survive for one million cycles under conditions that provide for equal compressive and tensile stresses....
-
In addition to the strongest military in the world, the United States wields enormous soft power. Define soft power. What factors make the United States powerful when it comes to soft power?
-
Tampa by the Bay Cardiology practice is experiencing long wait times for new patient appointments. Next available appointment is 30 days. The administrator has asked the practice manager to construct...
-
In 2013, Idalia Hernndez Ramos, a middle school teacher in Mexico, was a victim of cyber harassment. After discovering that one of her students tweeted that the teacher was a "bitch" and a "whore,"...
-
Your life couldn't be any better. You just accepted a new role as a senior consultant for a project management services firm in San Francisco, and the move is finally happening. You've got a great...
-
What are the two "engines" that drive earth's processes, how do they work (basically) and what are their energy sources? How do the "engines" influence and interact with the Earth Systems? (provide a...
-
A subsonic airplane is flying at a 5000-m altitude where the atmospheric conditions are 54 kPa and 256 K. A Pitot static probe measures the difference between the static and stagnation pressures to...
-
For all of the following words, if you move the first letter to the end of the word, and then spell the result backwards, you will get the original word: banana dresser grammar potato revive uneven...
-
Read Board Oversight of Patient Care Quality in Large Nonprofit Health Systems by Prybil, Bardach, and Fardo. (See Articles.) What do studies conducted by the Institute of Medicine, The Commonwealth...
-
Discuss the contrast between leadership and management. In your opinion, do nonprofits needs good leaders or good managers?
-
Could one individual be a great leader in government, a corporation, or a nonprofit? Why or why not?
-
American Food Services, Incorporated leased a packaging machine from Barton and Barton Corporation. Barton and Barton completed construction of the machine on January 1 , 2 0 2 4 . The lease...
-
Which of the following statements is true? Financial measures tend to be lag indicators that report on the results of past actions. LA profit center is responsible for generating revenue, but it is...
-
Andretti Company has a single product called a Dak. The company normally produces and sells 8 0 , 0 0 0 Daks each year at a selling price of $ 5 6 per unit. The company s unit costs at this level of...
Study smarter with the SolutionInn App