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How to select whole column on headerClick in Vaadin Table?

I am new to Vaadin, trying to figure out how I can implement column selection on headerClick in Vaadin (the expected result: i click on any column and it becomes selected, just like row).
Seems that it is not so obvious to do. Please, can anyone advice me on that issue? Thank you in advance!

Unfortunately, There is no API to do that in the current Grid and Table components. But as #Morfic mentioned you can configure a HeaderClickListener and then you'll have to save the column clicked as a state somewhere and add a wrapper on top of your datasource collection to get the data of the column in a scalar valued list.
If you need Excel-like features please check out Vaadin Spreadsheet component, it's a paid component but will work for you.

Jcombobox with Jcheckboxes

how can I create (with JAVA) Combobox that contains Checkboxes for multiple selection and display the selected items in the Combobox like this picture:
click to see the pic
and thnx for advance.
EDIT:
I found this API (JAPURA API) and it's great but when I select multiple things I want to display the selected items instead of "* multiple items *".

Here's the link to achieve your goal:
JComboBox Providing a Custom Renderer

I would suggest you create a JButton and style it in the form of a Combobox if you want that.
Then, at the onclick function (actionperformed), you create a JPanel and make it visible under the button. In the panel, you can put whatever you want, so you just put checkboxes there.
I know this is kind of a workaround of your problem, but it should be easy for you to do so, and the actual user does not see a difference at all.
Hope I could help you.
Cheers,
Lucky

Can I add to Combobox's model a different value than String?

I've created a Java Application Project in Netbeans. This project has the main class JFrame form. There is, inter alia, Combo Box. I need to add a quadratic function to this Combobox. And I really don't want to use for squared anything like this
^2 .
I've thought, that function might be represented by ,for example, .png file.(Like setting icon of buttons).
Is it possible to add a picture to the model of Combo Box?
Can be model of Combobox different than String?
Or any idea, how to add a function to the Combo Box without ^ or _ ?
I have this idea for few days, but I really don't know how to solve this.

The short answer is "yes".
The responsibility for displaying the value in the combo box comes down to the ListCellRenderer
Take a look at How to use Combo Boxes for details and Providing a Custom Renderer for specifics
Image from How to use Combo Boxes trail
Of course, how you achieve this is entirely up to you. I would encourage you to put something easily identifiable in the model and then let the renderer figure out how to render it. This is kind of important as you will need to know what the user has selected and identify it at some stage, and an Image might not be the best solution for this.

JList: Horizontal_WRAP fitted?

Hey,.. i wanna show pictures with names onit in a jList, i know it get's also in a JPanel but i'm now using a jList, doesn't matter..
My question is why does the jlist don't fit the images only in 2 horizontal 'cells' and then go one row down?
sry my english is bad and i don't know how to describe it better, but look on the picture, why does the jlist dont set the e.g. 3rd picture right next to the 2nd?

JList.HORIZONTAL_WRAP works correctly in the ListDialog JWS demo, as described in Initializing a List. I suspect a layout problem, but you might compare your code to the examples found there.

If you use HORIZONTAL_WRAP you can adjust the number of columns with setVisibleRowCount. If you want them automatically fitted to the width of the list, use 0 or something negative.

How do I add a Button to JxTable?

I guess I would have to use a Highlighter, but I cannot figure it out.

Table Button Column shows one way to do it with a regular JTable. I would assume it also works for a JXTable.