[Turkmath:4905] Gebze Teknik Üniversitesi Matematik Bölümü Genel Seminerleri

[GTU Mathematics]

Sayın Liste Üyeleri,

28 Mayıs Cuma günü saat 14:00'de * Dr.Öğr. Üyesi Serdar Ay* (Atılım
Üniversitesi )  *“*  *Dilations of Positive Semidefinite Kernels Valued in
Adjointable Operators of Barrelled VH-Spaces* *”  *başlıklı bir seminer
verecektir. Seminerin detayları aşağıda olup tüm ilgilenenler davetlidir.

Seminer için Microsoft Teams platformu kullanılacaktır. Seminere katılmak
için aşağıdaki linki kullanabilirsiniz:

https://teams.microsoft.com/l/meetup-join/19%3a0ae91f7b86a24e8fa1d818a6f74b22a1%40thread.tacv2/1621628614643?context=%7b%22Tid%22%3a%22066690f2-a8a6-4889-852e-124371dcbd6f%22%2c%22Oid%22%3a%22a49a1949-9464-4e2b-861d-221a6985322e%22%7d

Seminere bağlanırken aşağıdaki pencereyi görürseniz,


[image: image.png]


lütfen* Allow (İzin ver) *seçeneğine tıklayınız. Bu sizin toplantıya kamera
ve mikrofonunuzla bağlanabilmenizi sağlar.


Seminere giriş yaparken lütfen gerçek ve tam adınızı kullanınız.


Konuşmadığınız sürece lütfen mikrofonunuzu kapalı tutunuz.

Saygılarımızla.


Dear all,

*Dr. Serdar Ay*  from Atılım University will give a talk titled    *“*
 *Dilations
of Positive Semidefinite Kernels Valued in Adjointable Operators of
Barrelled VH-Spaces *   *” * on May 28th at 14:00. All interested are
invited.

Abstract: A VH-space (Vector Hilbert Space in the sense of Loynes) is a
complex complete locally convex space with a suitable ordered vector space
valued inner product. Examples of VH-spaces include, but is not limited to,
the chain of locally Hilbert $C^*$-modules, Hilbert $C^*$-modules and
Hilbert Spaces.
In this talk, after a discussion of VH-Spaces with basic properties and
some examples, we state a general dilation theorem for positive
semidefinite kernels valued in adjointable operators on a barrelled
VH-space. We prove that, under barrelledness assumption, a necessary and
sufficient condition for the existence of a natural VH-space dilation, or
equivalently, a reproducing kernel VH-space representation of the kernel,
is satisfied automatically.

Microsoft Teams platform will be used for the seminar. To join the seminar,
please use the following link:

https://teams.microsoft.com/l/meetup-join/19%3a0ae91f7b86a24e8fa1d818a6f74b22a1%40thread.tacv2/1621628614643?context=%7b%22Tid%22%3a%22066690f2-a8a6-4889-852e-124371dcbd6f%22%2c%22Oid%22%3a%22a49a1949-9464-4e2b-861d-221a6985322e%22%7d


If you see the following window when connecting to the seminar,
[image: image.png]



please select *Allow**. *Then you will be able to use your microphone and
camera during the seminar.


Please use your real and complete name when you enter the system.

Please switch your microphone off unless you are speaking.


Sincerely
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