In a short biography article on Alexander Grothendieck, it is mentioned that after Grothendieck submitted his first thesis on topological vector spaces (TVS), apparently, he told Bernard Malgrange that "There is nothing more to do, the subject is dead."

Also, after nearly two decades, while listing 12 topics of his interest, Grothendieck gave the least priority to topological tensor products and nuclear spaces.

Now, the questions I have are:

• What led Grothendieck to make this pronouncement on TVS?

• Could somebody indicate some significant problems or contributions in this area after Grothendieck? My interest is not in the applications or the impact of the subject on other areas of mathematics, but I am interested in knowing about the growth of TVS theory itself.

Thank you, in advance, for your answer.

In a short biography article on Alexander Grothendieck, it is mentioned that after Grothendieck submitted his first thesis on topological vector spaces (TVS), apparently, he told Bernard Malgrange that "There is nothing more to do, the subject is dead."

Also, after nearly two decades, while listing 12 topics of his interest, Grothendieck gave the least priority to topological tensor products and nuclear spaces.

Now, the questions I have are:

• What led Grothendieck to make this pronouncement on TVS?

• Could somebody indicate some significant problems or contributions in this area after Grothendieck? My interest is not in the applications or the impact of the subject on other areas of mathematics, but I am interested in knowing about the growth of TVS theory itself.

Thank you, in advance, for your answer.

In a short biography article on Alexander Grothendieck, it is mentioned that after Grothendieck submitted his first thesis on Topological Vector Spaces (TVS), apparently, he told Bernard Malgrange that "There is nothing more to do, the subject is dead."

Also, after nearly two decades, while listing 12 topics of his interest, Grothendieck gave the least priority to Topological Tensor Products and Nuclear Spaces.

Now, the questions I have are:

• What led Grothendieck to make this pronouncement on TVS?

• Could somebody indicate some significant problems or contributions in this area after Grothendieck? My interest is not in the applications or the impact of the subject on other areas of mathematics, but I am interested in knowing about the growth of TVS theory itself.

Thank you, in advance, for your answer.

In a short biography article on Alexander Grothendieck, it is mentioned that after Grothendieck submitted his first thesis on topological vector spaces (TVS), apparently, he told Bernard Malgrange that "There is nothing more to do, the subject is dead."

Also, after nearly two decades, while listing 12 topics of his interest, Grothendieck gave the least priority to topological tensor products and nuclear spaces.

Now, the questions I have are:

• What led Grothendieck to make this pronouncement on TVS?

• Could somebody indicate some significant problems or contributions in this area after Grothendieck? My interest is not in the applications or the impact of the subject on other areas of mathematics, but I am interested in knowing about the growth of TVS theory itself.

Thank you, in advance, for your answer.

In the short biography article on the Alexander Grothedieck

http://www.ams.org/notices/200409/fea-grothendieck-part1.pdf  ,

  it is mentioned that after Grothendieck submitting his first thesis on Topological Vector Spaces(TVS), apparently, told Bernard Malgrange that 'There is nothing more to do, the subject is dead.'

Also, after nearly two decades, while listing 12 topics of his interest Grothendieck gives least priority to Topological Tensor Products and Nuclear Spaces.

Now, the questions I have are:
What made Grothendieck make this pronouncement on TVS? Could somebody indicate some significant problems or contributions in this area after Grothendieck? My interest is not in the applications or the impact on the subject on other areas of mathematics but I am interested in knowing about the growth of TVS theory itself.

Thank you, in advance, for your answer.

In a short biography article on Alexander Grothendieck, it is mentioned that after Grothendieck submitted his first thesis on Topological Vector Spaces  (TVS), apparently, he told Bernard Malgrange that "There is nothing more to do, the subject is dead."

Also, after nearly two decades, while listing 12 topics of his interest, Grothendieck gave the least priority to Topological Tensor Products and Nuclear Spaces.

Now, the questions I have are:

• What led Grothendieck to make this pronouncement on TVS?

• Could somebody indicate some significant problems or contributions in this area after Grothendieck? My interest is not in the applications or the impact of the subject on other areas of mathematics, but I am interested in knowing about the growth of TVS theory itself.

Thank you, in advance, for your answer.