The Eleventh Workshop on Numerical Ranges and Numerical Radii


The study of the numerical ranges and numerical radii has a long and distinguished history. There has been a great deal of active research conducted by different research groups around the world. Its relations and applicability are bounded to many different branches of pure and applied science such as operator theory, functional analysis, C*-algebras, Banach algebras, matrix norms, inequalities, numerical analysis, perturbation theory, matrix polynomials, systems theory, quantum information science, etc.  Moreover, a wide range of mathematical tools including algebra, analysis, geometry, combinatorial theory, and computer programming are useful in the study. 

The first workshop on the subject starts in 1992 at Williamsburg. Then the workshop was conducted in every other year in different countries: at Coimbra, Portugal in 1994; at Sapporo, Japan in 1996; at Madison, USA in 1998, at Nafplio, Greece in 2000, at Auburn, USA in 2002, at Coimbra, Portugal in 2004; at Bremen, Germany in 2006; at Williamsburg, USA in 2008; at Krakow, Poland in 2010.

Speakers (as of July 5, 2012):

T. Ando (Japan), N. Bebiano (Portugal), Jor-Ting Chan 陳作庭 (Hong Kong), Chi-Tung Chang 張其棟 (Taiwan), Wai-Shun Cheung 張偉信(Hong Kong), M. D. Choi 蔡文端 (Canada), Daeshik Choi (USA), Mao-Ting Chien 簡茂丁(Taiwan), Chang-Pao Chen 陳璋泡 (Taiwan), Wai-Shun Cheung  (Hong Kong), M. Fiedler (Czech), Hwa-Long Gau 高華隆 (Taiwan), M. Goldberg (Israel), Anne Greenbaum (USA),  John Holbrook (Canada), Nathaniel Johnston (Canada), David W. Kribs (Canada), Tsang-Hai Kuo郭滄海Taiwan, Hang-Chin Lai 賴漢卿 (Taiwan), Chin-Cheng Lin 林欽誠 (Taiwan), Chi-Wai Leung 梁子威 (Hong Kong), Denny H. Leung 梁浩瀚 (Singapore), Chi-Kwong Li 李志光 (USA), H. Nakazato (Japan), Chi-Kueng Ng 吳志強 (China), Yiu Tung Poon 潘耀東 (USA) , Agnes Radl (Switzerland), A. Salemi (Iran), Ana Nata Santos (Portugal), Mau-Hsiang Shih 施茂祥 (Taiwan), Raymond Nung-Sing Sze 施能聖 (USA), Wataru Takahashi  (Japan), Bit-Shum Tam 譚必信 (Taiwan), Tin Yau Tam 譚天祐 (USA), Ming-Cheng Tsai 蔡明誠 (Taiwan), Frank Uhlig (USA), Batzorig Undrakh (Mongolia), Hao-Wei Huang  (USA), Kuo-Zhong Wang 王國仲 (Taiwan), Ya-Shu Wang (Taiwan), Pei Yuan Wu 吳培元 (Taiwan), J. Zemanek (Poland) , F. Zhang (USA), K. Zyczkowski (Poland).


Registration Fee: USD100 or NT$3000 (New Taiwan Dollars), cash please, will be collected in venue. Under the conditions of our supporting grants, all participants with Taiwan NSC supported have fee waivers. Spouses and students do not need to pay registrations, either.


On-Line Registration (open until June 20, 2012).


Accommodation: We will provide free accommodation to all speakers during the Workshop at the Uni Resort Hotel. It is a few hundred meters from the campus gate, and 15 minutes walk distance to the venue.  This hotel overlooks the sea (but it is not allowed to swim in the sea).  It has a spa (not swimming) pool.  You can swim in the beach inside the campus nearby the venue, anyway.


A half-day tour: The academic program ends by the noon of July 12, 2012.  A half-day tour to local attractions is planned.  Click to see the details.   Participants are expected to share the cost about US$30 per head.  This includes a supper and a boat tour.  Lodging:  Chung Cheng Hotel (中正飯店:高雄市鹽埕區大仁路7 , +886-7-521-2266).  These two hotels are door to door, and close to the O1 metro station.  See maps.


Banquet:  The Workshop Banquet will be taken place at 19:00, July 11, 2012, at the Kingship Hotel (漢王飯店, 高雄市七賢三路98 No.98 Cisian 3rd.Rd Kaohsiung, +886-7-5313131), which is another hotel also close to the O1 metro station.


Special event: To express our appreciation for his great contribution to operator theory, we will celebrate the 65th birthday of Professor Pei-Yuan Wu in the Wu’s afternoon on July 11, 2012.  Everyone is invited to participate into the birthday concert before the banquet that evening.


Banquet: The banquet, free of charges to all participants and spouses and students, will be in the evening of July 11 at the Uni Resort Hotel, with a special event to be announced.  Everyone please shows up.



·     Click and fetch a campus map of the venue, Department of Applied Math., National Sun Yat-sen University, Kaohsiung 80424, Taiwan (in Chinese or English versions), a map showing the route to the venue, and a map of the Kaohsiung city.

Travel Information:

·     If you travel by air, please make sure that

              your final destination is Hsiaokang International Airport at Kaohsiung.

The airport code of Kaohsiung Airport on your ticket is KHH. There is another (much bigger) Taoyuan International Airport  (previously known as Chiang Kai-shek International Airport) located at Taoyuan, 1 hour to Taipei downtown, and 5 hours highway drive from Kaohsiung.  There are frequent scheduled flights connecting Kaohsiung (airport code: KHH) to other cities.  In particular, there are about 9 flights a day from Hong Kong to Kaohsiung, and another 9 flights from Kaohsiung to Hong Kong, via the China Airlines (CI), Mandarin Airline (AE) and Dragon Airlines (KA).  If you want to fly to Taipei (airport code: TPE), though not advised, and plan to take a high speed train (90 minute one way) from Taipei to Kaohsiung, please arrange your flight to arrive in Taipei before 7pm to catch the last train (departing at 10:16pm).  You need to take a shuttle connecting the airport and the high speed train station at Taoyuan for approximately 1 hour one way.  Upon arriving at the Kaohsiung, you can take a metro train from the KHH airport station to the downtown Kaohsiung, the university campus and the Uni-Resort hotels at O1 station (O for Orange color).  Alternatively, you can take a taxi to the hotels, or the university (known locally as Chung Shan University: Chung Shan is the other name of Dr. Sun Yat-sen.)  You pay by meter plus a fixed airport taxi service charge (NT $50).  The cost for a single trip from Kaohsiung Airport to the hotels, or to the University is about NT $350 + 50.  Paying tips is not necessary in Taiwan.  However, you have to pay by local currency. We suggest you to make money exchange at the KHH airport.  The rate is same as in downtown banks there.

·     If you travel by train, you can take a taxi from Kaohsiung Train Station to the University for about NT $200 per single trip. Or you can take the No. 248 bus and get off from the bus at the University Tunnel Entrance bus stop. The fare is NT $12. You can also use the metro and stop at the O1 station.

·     If you use the highspeed train, you can transfer to the metro at the Kaohsiung highspeed train station.  The campus is in 10 minute walking distance from the O1 (Orange One) metro station.   

·    If you travel by car, exit at the Chung Cheng Road rump on Highway 1. Then turn right at the first traffic light and you will be on Chung Cheng Road. Follow Chung Cheng Road until the end for about 20 minutes. Soon after you pass the Love River Bridge, make a right turn at the loop. You will be on Dagung Road and after a few blocks, you will be on the joint of a `T' shape bridge. Make a left turn there. Drive straight and make a right turn at Lin Hai 2nd Road. After four traffic lights you will arrive at the University Tunnel Entrance (for bicycles and walkers only). Make a left turn and follow the `S' sharp river side Lienhai road. About 5 minutes you will see the Main Entrance of the National Sun Yat-sen University. Tell the guards there you are attending an international mathematics workshop and then you will know how to drive to the venue.

Visas and other information:

Foreign nationals may obtain tourist visas to enter Taiwan if they hold foreign passports or travel documents valid for more than six months. Please visit Bureau of Consular Affairs, Ministry of Foreign Affairs or a Taiwan Embassy in your country for visa application. Visit also Information on Republic of China Visitor Visas.

·     30-day to half-year visa-free privileges are afforded to citizens of many countries and 30-day landing visas are afforded to citizens of other few countries. For any further information, please visit the website of  the Bureau of Consular Affairs, Ministry of Foreign Affairs. For any further questions about visa application, please contact : on-line, Tel: +886-2-2343-2888 or by Fax: +886-3-2343-2968.

One may find other useful information from the web page of the Tourism Bureau, ROC at A brief history of Taiwan, as well as travel information, is available there, too. The temperature of Kaohsiung in July is about 25--33 degrees C.  No heavy clothing is in need.

Currency Exchange:

The current exchange rate is about US $1= NT $30 (New Taiwan Dollars). It is best to make exchange at Kaohsiung Airport right after you walk out from the custom. You can also make exchange at banks in downtown or at the hotels. Almost no service charge or surplus applies when you do it in a bank or at the airport. You can change it back to US dollars or Euros or other currencies at the airport again before you leave the country. Credit cards are very popular here.


0.  A shuttle bus will commute departing from Uni Resort Hotel to the venue at 8:20 and 8:40 am, July 9 ONLY.

1.  The Opening of the Workshop will be in the early morning of July 9, and followed by first talk immediately.

2.  The last talk will be in the morning of July 12, and followed by a half day tour to local attractions..

3.  All talks will be 30 minutes long.

4.  We will provide free lunch boxes/snacks/coffee/tea during the Workshop.

5.  I would expect US$25 a day is more than enough for your relaxing staying with beers and suppers and candies in Kaohsiung.

6.  July is summer time in Kaohsiung, and the temperature can easily reach above 30C, with high humidity.  We hope we would have no typhoon during the workshop.

7.  Please arrange your trip to arrive in Kaohsiung, Taiwan, airport coded KHH. There are 77 flights a week between Hong Kong and Kaohsiung currently. We will try our best to arrange pick-ups on July 8. There is another airport nearby Taipei, coded TPE.  It is about 400 km, or 5 hour highway driving, away from Kaohsiung. You have to take care yourself if you arrive at TPE.  Sorry!

8.  English speakers in Kaohsiung can survive, and it is not too difficult to find the hotel by you in case.


Other informations:

1.     Electricity is supplied at 110 V - 60 Hz AC with American standard plugs.

2.     Local weather in July is hot and humid. It is easy to reach over 33C in day time, and hardly drop below 20C in night time.

3.     Computer LCD projectors, overhead transparency projectors, real object projectors, black and white blocks are available.

4.     Window based PCs are available to participants to check E-mails during the Conference.

5.     Phone cards are now popular and cheap in Taiwan.  One can buy some at, e.g., the 24-hour operated `Family Mart chained store in campus.  Mobile phone networks are everywhere.  Usually, we use Skype or MSM/Yahoo Messengers.

6. More later!


Sponsors and Endorsers: National Sun Yat-sen University (NSYSU), Mathematics Research Promotion Center, Taiwan National Science Council (NSC), and the International Linear Algebra Society (ILAS).


       Chi-Kwong Li 李志光,, Tel (Fax): 757-221-2042(7400),

Ngai-Ching Wong黃毅青,, Tel: (886) 7-525-2000 ext. 3818; or visit