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Program and Abstracts of 
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The fourth workshop on "Numerical ranges and numerical radii", 

June 1-2 1998, in conjunction with the Seventh ILAS Conference

in honor of the retirement of Professor Hans Schneider.

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Talks will be in Van Vleck 901. Coffee breaks will be in Van Vleck 911.

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June 1 Monday

8:30 a.m. Program and Abstracts, Name Tags, and Coffee etc. will be 
          available in Van Vleck 911.

Morning Session  Moderator: Chi-Kwong Li
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8:50 a.m. Opening remark: Richard Brualdi

9:00 a.m. Generalized numerical radius and \rho-dilation
          Okubo

9:30 a.m. Numerical range of S(\phi)
          Wu

10:00 a.m. Applications of the numerical range to factorization problems
           Spitkovsky

10:30 - 11:00 a.m. Coffee break

11:00 a.m. Numerical ranges with respect to indefinite inner products
           Rodman

11:30 a.m. Classification of H-normal operators in finite-dimensional
           Krein space: the numerical ranges approach
           Strauss

noon    Workshop photo

12:15 - 2:00 p.m.  Lunch break


Afternoon Session  Moderator: Ando
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2:00 p.m. What are the bad two-letter words?
          Johnson

2:30 p.m. Positive definiteness of tridiagonal matrices via the 
          numerical range
          Chien

3:00 p.m. On computing the numerical radius
          Zhou

3:30 - 4:00 p.m.  Coffee break

4:00 p.m. Exterior numerical radii and anti-invariant subspaces
          B. Tam

4:30 p.m. Trigonmetry of matrices and operators
          Rao


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June 2

Mornig session Moderator: Farenick
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9:00 a.m. On the numerical range of rational matrix functions
          Maroulas

9:30 a.m. Group majorization, Eaton triples and generalized numerical range
          T. Tam

10:00 a.m Different parts of a quaternionic numerical range
          So 

10:30 - 11:00 a.m. Coffee break

11:00 a.m. Genus of the boundary gnerating curve of a numerical range
           Nakazato

11:30 a.m. Title to be announced
           Bebiano

noon - 12:10 p.m.  Closing remark: Hans Schneider

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